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Uspekhi Mat. Nauk, 1970, Volume 25, Issue 2(152), Pages 141–192 (Mi umn5322)  

This article is cited in 512 scientific papers (total in 516 papers)

Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards

Ya. G. Sinai

Abstract: In this paper we consider dynamical systems resulting from the motion of a material point in domains with strictly convex boundary, that is, such that the operator of the second quadratic form is negative-definite at each point of the boundary, where the boundary is taken to be equipped with the field of inward normals. We prove that such systems are ergodic and are $K$-systems. The basic method of investigation is the construction of transversal foliations for such systems and the study of their properties.

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English version:
Russian Mathematical Surveys, 1970, 25:2, 137–189

Bibliographic databases:

UDC: 518.25
MSC: 37N05, 37Axx, 37D50, 37D40
Received: 11.12.1969

Citation: Ya. G. Sinai, “Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards”, Uspekhi Mat. Nauk, 25:2(152) (1970), 141–192; Russian Math. Surveys, 25:2 (1970), 137–189

Citation in format AMSBIB
\by Ya.~G.~Sinai
\paper Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards
\jour Uspekhi Mat. Nauk
\yr 1970
\vol 25
\issue 2(152)
\pages 141--192
\jour Russian Math. Surveys
\yr 1970
\vol 25
\issue 2
\pages 137--189

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    This publication is cited in the following articles:
    1. Stoddard S.D., Ford J., “Numerical experiments on the stochastic behavior of a Lennard-Jones gas system”, Phys. Rev. A, 8:3 (1973), 1504–1512  crossref  adsnasa
    2. L. A. Bunimovich, Ya. G. Sinai, “On a fundamental theorem in the theory of dispersing billiards”, Math. USSR-Sb., 19:3 (1973), 407–423  mathnet  crossref  mathscinet  zmath
    3. J.L.. Lebowitz, Oliver Penrose, “Modern ergodic theory”, Phys. Today, 26:2 (1973), 23  crossref
    4. A. I. Shnirelman, “Ergodicheskie svoistva sobstvennykh funktsii”, UMN, 29:6(180) (1974), 181–182  mathnet  mathscinet  zmath
    5. L. A. Bunimovich, “On billiards close to dispersing”, Math. USSR-Sb., 23:1 (1974), 45–67  mathnet  crossref  mathscinet  zmath
    6. D.B. Abraham, D.J. Gates, “Models for a high-density phenomenon in the Lorentz gas”, Physica, 72:1 (1974), 73  crossref
    7. Goldstein Sh., “Space-time ergodic properties of systems of infinitely many independent particles”, Comm. Math. Phys., 39:4 (1975), 303–327  crossref  mathscinet  zmath  adsnasa
    8. Giulio Casati, Joseph Ford, “Computer study of ergodicity and mixing in a two-particle, hard point gas system”, Journal of Computational Physics, 20:1 (1976), 97  crossref
    9. M. Voitkovski, “Simvolicheskaya dinamika v odnoi bilyardnoi zadache”, UMN, 32:3(195) (1977), 153–154  mathnet  mathscinet  zmath
    10. Ya. B. Pesin, “Characteristic Lyapunov exponents and smooth ergodic theory”, Russian Math. Surveys, 32:4 (1977), 55–114  mathnet  crossref  mathscinet  zmath
    11. K.-i. Nakamura, “Nonlinear Fluctuations Associated with Instabilities in Dissipative Systems”, Progress of Theoretical Physics, 57:6 (1977), 1874  crossref
    12. Mangel M., “Fluctuations at chemical instabilities”, J. Chem. Phys., 69:8 (1978), 3697–3708  crossref  adsnasa  elib
    13. K.-i. Nakamura, “Numerical Experiments on Trajectory Instabilities in Dissipative Systems”, Progress of Theoretical Physics, 59:1 (1978), 64  crossref
    14. Mangel M., “Small fluctuations in systems with multiple steady states”, SIAM J. Appl. Math., 36:3 (1979), 544–572  crossref  mathscinet  zmath
    15. Ya. G. Sinai, “Ergodic properties of the Lorentz gas”, Funct. Anal. Appl., 13:3 (1979), 192–202  mathnet  crossref  mathscinet  zmath
    16. Marc Mangel, “Uniform treatment of fluctuations at critical points”, Physica A: Statistical Mechanics and its Applications, 97:3 (1979), 597  crossref
    17. Spohn H., “Kinetic equations from Hamiltonian dynamics: Markovian limits”, Rev. Mod. Phys., 52:3 (1980), 569–615  crossref  adsnasa  isi
    18. Bunimovich L.A., Sinai Ya.G., “Markov Partitions for dispersed billiards”, Comm. Math. Phys., 78:2 (1980), 247–280  crossref  mathscinet  zmath  adsnasa  isi  elib
    19. Berry M.V., “Quantization of mappings and other simple classical models”, Nonlinear dynamics (New York, 1979), Ann. N.Y. Acad. Sci., 357, no. 1, 1980, 183–202  crossref  zmath  adsnasa
    20. Smale S., “On the problem of reviving the ergodic hypothesis of Boltzmann and Birkhoff”, Nonlinear dynamics (New York, 1979), Ann. N.Y. Acad. Sci., 357, no. 1, 1980, 260  crossref  zmath  adsnasa
    21. Berry M.V., “Regularity and chaos in classical mechanics, illustrated by three deformations of a circular “billiard””, European J. Phys., 2:2 (1981), 91–102  crossref  mathscinet  adsnasa
    22. K. M. Efimov, “Ergodic properties of an interacting Lorentz gas”, Russian Math. Surveys, 36:6 (1981), 173–174  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    23. M.V. Berry, “Quantizing a classically ergodic system: Sinai's billiard and the KKR method”, Annals of Physics, 131:1 (1981), 163  crossref
    24. P.J. Richens, M.V. Berry, “Pseudointegrable systems in classical and quantum mechanics”, Physica D: Nonlinear Phenomena, 2:3 (1981), 495  crossref
    25. G.M.. Zaslavsky, “Stochasticity in quantum systems”, Physics Reports, 80:3 (1981), 157  crossref
    26. van Beijeren H., “Transport properties of stochastic Lorentz models”, Rev. Modern Phys., 54:1 (1982), 195–234  crossref  mathscinet  adsnasa  isi
    27. Fucito F., Marchesoni F., Marinari E., Parisi G., Peliti L., Ruffo S., Vulpiani A., “Approach to equilibrium in a chain of nonlinear oscillators”, J. Physique, 43:5 (1982), 707–713  crossref  mathscinet  isi
    28. N. I. Chernov, “Structure of transversal leaves in multidimensional semidispersing billiards”, Funct. Anal. Appl., 16:4 (1982), 270–280  mathnet  crossref  mathscinet  zmath  isi
    29. Barrow J.D., “Chaotic behaviour in general relativity”, Physics Reports, 85:1 (1982), 1–49  crossref  mathscinet  adsnasa  isi
    30. N Saitô, H Hirooka, J Ford, F Vivaldi, G.H Walker, “Numerical study of billiard motion in an annulus bounded by non-concentric circles”, Physica D: Nonlinear Phenomena, 5:2-3 (1982), 273  crossref
    31. Toshiki Matsushita, Akira Narita, Toshikata Terasaka, “Chaotic behavior of a classical coupled morse system around the escape energy region”, Chemical Physics Letters, 95:2 (1983), 129  crossref
    32. Mario Feingold, Asher Peres, “Regular and chaotic motion of coupled rotators”, Physica D: Nonlinear Phenomena, 9:3 (1983), 433  crossref
    33. J. Iturbe, S.L. Allman, G.S. Hurst, M.G. Payne, “Time- and space-summation studies of the diffusion equation: experimental test of the ergodic hypothesis”, Chemical Physics Letters, 94:5 (1983), 505  crossref
    34. Friedman B., Oono Y., Kubo I., “Universal behavior of Sinai billiard systems in the small-scatterer limit”, Phys. Rev. Lett., 52:9 (1984), 709–712  crossref  mathscinet  adsnasa  isi
    35. B. V. Medvedev, “Dynamic stochasticity and quantization”, Theoret. and Math. Phys., 60:2 (1984), 782–797  mathnet  crossref  mathscinet  isi
    36. K. M. Efimov, “The central limit theorem for the Lorentz gas and martingales”, Stochastics, 14:1 (1984), 1  crossref
    37. Ishikawa T., Yukawa T., “Transition from regular to irregular spectra in quantum billiards”, Phys. Rev. Lett., 54:15 (1985), 1617–1619  crossref  adsnasa  isi
    38. Lech PapieŻ, “Consequences of the dynamical approach to the nuclear spin relaxation induced by molecular rotations in an external magnetic field”, Physics Letters A, 107:9 (1985), 438  crossref
    39. Wojtkowski M., “Principles for the design of billiards with nonvanishing Lyapunov exponents”, Comm. Math. Phys., 105:3 (1986), 391–414  crossref  mathscinet  zmath  adsnasa  isi
    40. Nicolis G., “Dissipative systems”, Rep. Prog. Phys., 49:8 (1986), 873–949  crossref  mathscinet  adsnasa  isi
    41. Bouchard J., Le Doussal P., “Critical behaviour and intermittency in Sinai's billiard”, Physica D: Nonlinear Phenomena, 20:2-3 (1986), 335–349  crossref  mathscinet  adsnasa
    42. A. Zacherl, T. Geisel, J. Nierwetberg, G. Radons, “Power spectra for anomalous diffusion in the extended Sinai billiard”, Physics Letters A, 114:6 (1986), 317  crossref
    43. A. Ramani, A. Kalliterakis, B. Grammaticos, B. Dorizzi, “Integrable curvilinear billiards”, Physics Letters A, 115:1-2 (1986), 25  crossref
    44. Eugene Gutkin, “Billiards in polygons”, Physica D: Nonlinear Phenomena, 19:3 (1986), 311  crossref
    45. Reichl L.E., Lin W.A., “The search for a quantum KAM theorem”, Found. Phys., 17:7 (1987), 689–697  crossref  mathscinet  adsnasa  isi
    46. Brown R., Ott E., Grebogi C., “Ergodic adiabatic invariants of chaotic systems”, Phys. Rev. Lett., 59:11 (1987), 1173–1176  crossref  mathscinet  adsnasa  isi
    47. Wilkinson M., “A semiclassical sum rule for matrix elements of classically chaotic systems”, J. Phys. A, 20:9 (1987), 2415–2423  crossref  mathscinet  adsnasa  isi
    48. Ya. G. Sinai, N. I. Chernov, “Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls”, Russian Math. Surveys, 42:3 (1987), 181–207  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    49. M Baranger, K.T.R Davies, “Periodic trajectories for a two-dimensional nonintegrable Hamiltonian”, Annals of Physics, 177:2 (1987), 330  crossref
    50. M. Paramio, J. Sesma, “Breakdown of KAM tori in the standard map”, Physics Letters A, 124:6-7 (1987), 345  crossref
    51. Bleher S., Grebogi C., Ott E., Brown R., “Fractal boundaries for exit in Hamiltonian dynamics”, Phys. Rev. A, 38:2 (1988), 930–938  crossref  mathscinet  adsnasa  isi
    52. Fairlie D.B., Siegwart D.K., “Classical billiards in a rotating boundary”, J. Phys. A, 21:5 (1988), 1157–1165  crossref  mathscinet  zmath  adsnasa  isi
    53. Chang Shau-Jin, Friedberg R., “Elliptical billiards and Poncelet's theorem”, J. Math. Phys., 29:7 (1988), 1537–1550  crossref  mathscinet  zmath  adsnasa  isi
    54. Wojtkowski M.P., “Measure theoretic entropy of the system of hard spheres”, Ergodic Theory Dynam. Systems, 8:1 (1988), 133–153  crossref  mathscinet  zmath
    55. B. Friedman, R.F. Martin, “Behavior of the velocity autocorrelation function for the periodic Lorentz gas”, Physica D: Nonlinear Phenomena, 30:1-2 (1988), 219  crossref
    56. P.R. Baldwin, “Soft billiard systems”, Physica D: Nonlinear Phenomena, 29:3 (1988), 321  crossref
    57. J.C. Kimball, H.L. Frisch, “Channeling and the periodic Lorentz gas”, Physics Letters A, 128:5 (1988), 273  crossref
    58. Stojanov L., “An estimate from above of the number of periodic orbits for semi-dispersed billiards”, Comm. Math. Phys., 124:2 (1989), 217–227  crossref  mathscinet  zmath  adsnasa  isi
    59. Mistriotis A.D., “A study on the short time dynamical behavior of Hamiltonian systems and its relationship to non-equilibrium statistical properties”, Phys. Scr., 39:1 (1989), 33–39  crossref  adsnasa  isi
    60. Chang Shau-Jin, Shi Kang-Jie, “Billiard systems on quadric surfaces and the Poncelet theorem”, J. Math. Phys., 30:4 (1989), 798–804  crossref  mathscinet  zmath  adsnasa  isi
    61. V. A. Malyshev, Ya. G. Sinai, “Some works on ergodic theory and mathematical problems of statistical mechanics at the Department of Probability Theory of Moscow State University”, Theory Probab. Appl., 34:1 (1989), 186–193  mathnet  crossref  mathscinet  zmath  zmath  isi
    62. Simányi N., Wojtkowski M.P., “Two-particle billiard system with arbitrary mass ratio”, Ergodic Theory Dynam. Systems, 9:1 (1989), 165–171  crossref  mathscinet  zmath
    63. Thirumalai D., Kirkpatrick T.R., “Ergodic behavior in supercooled liquids and in glasses”, Phys. Rev. A, 39:7 (1989), 3563–3574  crossref  adsnasa  isi
    64. Mackey M.C., “The dynamic origin of increasing entropy”, Rev. Mod. Phys., 61:4 (1989), 981–1015  crossref  adsnasa  isi
    65. Cheon T., Cohen Th.D., “Quantum level statistics of pseudointegrable billiards”, Phys. Rev. Lett., 62:24 (1989), 2769–2772  crossref  adsnasa  isi
    66. Krámli A., Simányi N., Szász D., “Dispersing billiards without focal points on surfaces are ergodic”, Comm. Math. Phys., 125:3 (1989), 439–457  crossref  mathscinet  zmath  adsnasa  isi
    67. Siegwart D.K., J. Phys. A, 22:17 (1989), 3537–3550  crossref  mathscinet  zmath  adsnasa  isi
    68. B. V. Medvedev, “Dynamic stochasticity and integrals of the motion”, Theoret. and Math. Phys., 79:3 (1989), 618–627  mathnet  crossref  mathscinet  isi
    69. Friedrich H., Wintgen H., “The hydrogen atom in a uniform magnetic field — An example of chaos”, Physics Reports, 183:2 (1989), 37–79  crossref  mathscinet  adsnasa  isi
    70. S Adachi, “A numerical evaluation of the semiclassical coherent state path integral”, Annals of Physics, 195:1 (1989), 45  crossref
    71. Bauer W., Bertsch G.F., “Decay of ordered and chaotic systems”, Phys. Rev. Lett., 65:18 (1990), 2213–2216  crossref  adsnasa  isi
    72. Dahlqvist P., Russberg G., “Existence of stable orbits in the $x^2y^2$ potential”, Phys. Rev. Lett., 65:23 (1990), 2837–2838  crossref  mathscinet  zmath  adsnasa  isi
    73. Stolovitzky G., Hernando J.A., “Attractive and repulsive interactions in a two-dimensional billiardlike system: The Lennard-Jones stadium”, Phys. Rev. A, 41:12 (1990), 6716–6726  crossref  adsnasa  isi
    74. Wojtkowski M.P., “Linearly stable orbits in 3 dimensional billiards”, Comm. Math. Phys., 129:2 (1990), 319–327  crossref  mathscinet  zmath  adsnasa  isi
    75. Wojtkowski M.P., “A system of one dimensional balls with gravity”, Comm. Math. Phys., 126:3 (1990), 507–533  crossref  mathscinet  zmath  adsnasa  isi
    76. Hannay J.H., McCraw R.J., “Barrier billiards—a simple pseudo-integrable system”, J. Phys. A, 23:6 (1990), 887–899  crossref  mathscinet  zmath  adsnasa  isi
    77. Sěba P., “Wave chaos in singular quantum billiard”, Phys. Rev. Lett., 64:16 (1990), 1855–1858  crossref  mathscinet  zmath  adsnasa  isi
    78. Troubetzkoy S.E., “A comparison of elastic and inelastic billiards”, Nonlinearity, 3:3 (1990), 947–960  crossref  mathscinet  zmath  adsnasa  isi
    79. L. A. Bunimovich, Ya. G. Sinai, N. I. Chernov, “Markov partitions for two-dimensional hyperbolic billiards”, Russian Math. Surveys, 45:3 (1990), 105–152  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    80. I. V. Krivoshei, “Instability criterion for multidimensional nonlinear Hamiltonian systems”, Theoret. and Math. Phys., 82:2 (1990), 187–194  mathnet  crossref  mathscinet  zmath  isi
    81. Izrailev F.M., “Simple models of quantum chaos: Spectrum and eigenfunctions”, Physics Reports, 196:5-6 (1990), 299–392  crossref  mathscinet  adsnasa  isi
    82. Bouchaud J.-Ph., Georges A., “Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications”, Physics Reports, 195:4-5 (1990), 127–293  crossref  mathscinet  adsnasa  isi
    83. Alexander P. Veselov, “Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space”, Journal of Geometry and Physics, 7:1 (1990), 81  crossref
    84. Šeba P., Życzkowski K., “Wave chaos in quantized classically nonchaotic systems”, Phys. Rev. A, 44:6 (1991), 3457–3465  crossref  mathscinet  adsnasa  isi
    85. Bunimovich L.A., “Conditions of stochasticity of two-dimensional billiards”, Chaos, 1:2 (1991), 187–193  crossref  mathscinet  zmath  adsnasa
    86. Donnay V., Liverani C., “Potentials on the two-torus for which the Hamiltonian flow is ergodic”, Comm. Math. Phys., 135:2 (1991), 267–302  crossref  mathscinet  zmath  adsnasa  isi
    87. Donnay V.J., “Using integrability to produce chaos: Billiards with positive entropy”, Comm. Math. Phys., 141:2 (1991), 225–257  crossref  mathscinet  zmath  adsnasa  isi
    88. Baldwin P.R., J. Phys. A, 24:16 (1991), L941–L947  crossref  mathscinet  zmath  adsnasa  isi
    89. Eloranta K., “Alpha-congruence for dispersive billiards”, Ergodic Theory Dynam. Systems, 11:2 (1991), 309–331  crossref  mathscinet  zmath
    90. Csordás A., Graham R., “Level statistics of a noncompact cosmological billiard”, Phys. Rev. A, 44:3 (1991), 1491–1499  crossref  mathscinet  adsnasa  isi
    91. Graham R., Hübner R., Szépfalusy P., Vattay G., “Level statistics of a noncompact integrable billiard”, Phys. Rev. A, 44:11 (1991), 7002–7015  crossref  mathscinet  adsnasa  isi
    92. Arve P., “Time scales of ergodic classical dynamics in quantal spectra”, Phys. Rev. A, 44:10 (1991), 6920–6922  crossref  adsnasa  isi
    93. N. I. Chernov, “Topological entropy and periodic points of two-dimensional hyperbolic billiards”, Funct. Anal. Appl., 25:1 (1991), 39–45  mathnet  crossref  mathscinet  zmath  isi
    94. N. I. Chernov, “New proof of Sinai's formula for the entropy of hyperbolic billiard systems. Application to Lorentz gases and Bunimovich stadiums”, Funct. Anal. Appl., 25:3 (1991), 204–219  mathnet  crossref  mathscinet  zmath  isi
    95. I. K. Babenko, “On the behavior of trajectories of scattering billiards on the flat torus”, Math. USSR-Sb., 72:1 (1992), 207–220  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    96. L. A. Bunimovich, Ya. G. Sinai, N. I. Chernov, “Statistical properties of two-dimensional hyperbolic billiards”, Russian Math. Surveys, 46:4 (1991), 47–106  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    97. S. E. Trubetskoi, “Stochastic stability of dispersing billiards”, Theoret. and Math. Phys., 86:2 (1991), 151–158  mathnet  crossref  mathscinet  isi
    98. Alessandro Monge, “The phenomenon of diverging phase-space trajectories for a class of Hamiltonian maps”, Physics Letters A, 153:4-5 (1991), 204  crossref
    99. Nikolai I. Chernov, “The ergodicity of a Hamiltonian system of two particles in an external field”, Physica D: Nonlinear Phenomena, 53:2-4 (1991), 233  crossref
    100. Isichenko M.B., “Percolation, statistical topography, and transport in random media”, Rev. Modern Phys., 64:4 (1992), 961–1043  crossref  mathscinet  adsnasa  isi
    101. Wang X.-J., “Dynamical sporadicity and anomalous diffusion in the Lévy motion”, Phys. Rev. A, 45:12 (1992), 8407–8417  crossref  adsnasa  isi
    102. Biham O., Kvale M., “Unstable periodic orbits in the stadium billiard”, Phys. Rev. A, 46:10 (1992), 6334–6339  crossref  mathscinet  adsnasa  isi
    103. Markarian R., “Ergodic properties of plane billiards with symmetric potentials”, Comm. Math. Phys., 145:3 (1992), 435–446  crossref  mathscinet  zmath  adsnasa  isi
    104. Bunimovich L., Liverani C., Pellegrinotti A., Suhov Yu., “Ergodic systems of $n$ balls in a billiard table”, Comm. Math. Phys., 146:2 (1992), 357–396  crossref  mathscinet  zmath  adsnasa  isi  elib
    105. Chernov N., Markarian R., “Entropy of non-uniformly hyperbolic plane billiards”, Bol. Soc. Brasil. Mat. (N.S.), 23:1-2 (1992), 121–135  crossref  mathscinet  zmath
    106. Biswas D., Azam M., Lawande Q.V., Lawande S.V., “Existence of stable periodic orbits in the $x^2y^2$ potential: a semiclassical approach”, J. Phys. A, 25:7 (1992), L297–L301  crossref  adsnasa  isi
    107. Harayama T., Shudo A., “Periodic orbits and semiclassical quantization of dispersing billiards”, J. Phys. A, 25:17 (1992), 4595–4611  crossref  mathscinet  zmath  adsnasa  isi  elib
    108. Dahlqvist P., “Semiclassical mechanics of bound chaotic potentials”, Chaos, 2:1 (1992), 43–52  crossref  mathscinet  zmath  adsnasa
    109. Dahlqvist P., “Influence of intermittency on quantum spectra”, J. Phys. A, 25:23 (1992), 6265–6282  crossref  mathscinet  zmath  adsnasa  isi  elib
    110. Mortessagne F., Legrand O., Sornette D., “Renormalization of exponential-decay rates by fluctuations of barrier encounters”, Europhys. Lett., 20:4 (1992), 287–293  crossref  adsnasa  isi
    111. James Chen, “Nonlinear dynamics of charged particles in the magnetotail”, J. Geophys. Res, 97:A10 (1992), 15011  crossref
    112. Jarzynski C., “Energy diffusion in a chaotic adiabatic billiard gas”, Phys. Rev. E, 48:6 (1993), 4340–4350  crossref  mathscinet  adsnasa  isi
    113. Lue A., Brenner H., “Phase flow and statistical structure of Galton-board systems”, Phys. Rev. E, 47:5 (1993), 3128–3144  crossref  mathscinet  adsnasa  isi
    114. Chernov N.I., Eyink G.L., Lebowitz J.L., Sinai Ya.G., “Steady-state electrical conduction in the periodic Lorentz gas”, Comm. Math. Phys., 154:3 (1993), 569–601  crossref  mathscinet  zmath  adsnasa  isi  elib
    115. Tsai Yan-Chr, Shapir Y., “On the scale-invariant distribution of the diffusion coefficient for classical particles diffusing in disordered media”, J. Phys. A, 26:1 (1993), 39–50  crossref  adsnasa  isi  elib
    116. Markarian R., “New ergodic billiards: exact results”, Nonlinearity, 6:5 (1993), 819–841  crossref  mathscinet  zmath  adsnasa  isi  elib
    117. Dietz B., Smilansky U., “A scattering approach to the quantization of billiards—the inside-outside duality”, Chaos, 3:4 (1993), 581–589  crossref  mathscinet  zmath  adsnasa
    118. Mortessagne F., Legrand O., Sornette D., “Transient chaos in room acoustics”, Chaos, 3:4 (1993), 529–541  crossref  adsnasa
    119. Crespi B., Perez G., Chang Shau-Jin, “Quantum Poincaré sections for two-dimensional billiards”, Phys. Rev. E, 47:2 (1993), 986–991  crossref  mathscinet  adsnasa  isi
    120. Ackland G.J., “Equipartition and ergodicity in closed one-dimensional systems of hard spheres with different masses”, Phys. Rev. E, 47:5 (1993), 3268–3275  crossref  adsnasa  isi
    121. Chang Shau-Jin, Crespi B., Shi Kang-Jie, “Elliptical billiard systems and the full Poncelet's theorem in $n$ dimensions”, J. Math. Phys., 34:6 (1993), 2242–2256  crossref  mathscinet  zmath  adsnasa  isi
    122. U. Smilansky, “On hearing the shape of a drum, and related problems”, Contemporary Physics, 34:6 (1993), 297  crossref
    123. Uzy Smilansky, “A zeta function approach to the semiclassical quantization of maps”, Nuclear Physics A, 560:1 (1993), 57  crossref
    124. Igor V. Lerner, “Distributions of the diffusion coefficient for the quantum and classical diffusion in disordered media”, Nuclear Physics A, 560:1 (1993), 274  crossref
    125. T. Dagaeff, C. Rouvinez, “On the discontinuities of the boundary in billiards”, Physica D: Nonlinear Phenomena, 67:1-3 (1993), 166  crossref
    126. Nobuhiko Saitô, Akira Shudo, “Ergodicity, Irreversibility and Approach to Equilibrium”, J. Phys. Soc. Jpn, 62:1 (1993), 53  crossref
    127. Garrido P.L., Gallavotti G., “Billiards correlation functions”, J. Statist. Phys., 76:1-2 (1994), 549–585  crossref  mathscinet  zmath  adsnasa  isi
    128. Chernov N.I., “Statistical properties of the periodic Lorentz gas. Multidimensional case”, J. Statist. Phys., 74:1-2 (1994), 11–53  crossref  mathscinet  zmath  adsnasa  isi  elib
    129. Boasman P.A., Smilansky U., “Quantization of monotonic twist maps”, J. Phys. A, 27:4 (1994), 1373–1385  crossref  mathscinet  zmath  adsnasa  isi  elib
    130. Bauer W., McGrew D., Zelevinsky V., Schuck P., “Coexistence of regular undamped nuclear dynamics with intrinsic chaoticity”, Phys. Rev. Lett., 72:24 (1994), 3771–3774  crossref  adsnasa  isi
    131. Srednicki M., “Chaos and quantum thermalization”, Phys. Rev. E, 50:2 (1994), 888–901  crossref  adsnasa  isi
    132. Emch G.G., Narnhofer H., Thirring W., Sewell G.L., “Anosov actions on noncommutative algebras”, J. Math. Phys., 35:11 (1994), 5582–5599  crossref  mathscinet  zmath  adsnasa  isi
    133. Isichenko M.B., Gruzinov A.V., “Isotopological relaxation, coherent structures, and Gaussian turbulence in two-dimensional (2-D) magnetohydrodynamics (MHD)”, Phys. Plasmas, 1:6 (1994), 1802–1816  crossref  mathscinet  adsnasa  isi
    134. Morita T., “Periodic orbits of a dynamical system in a compound central field and a perturbed billiards system”, Ergodic Theory Dynam. Systems, 14:3 (1994), 599–619  crossref  mathscinet  zmath
    135. von Oppen F., “Magnetic susceptibility of ballistic microstructures”, Phys. Rev. B, 50:23 (1994), 17151–17161  crossref  adsnasa  isi
    136. Fendrik A.J., Rivas A.M.F., Sánchez M.J., “Decay of quasibounded classical Hamiltonian systems and their internal dynamics”, Phys. Rev. E, 50:3 (1994), 1948–1958  crossref  mathscinet  adsnasa  isi
    137. Mucciolo E.R., Capaz R.B., Altshuler B.L., Joannopoulos J.D., “Manifestation of quantum chaos in electronic band structures”, Phys. Rev. B, 50:12 (1994), 8245–8251  crossref  adsnasa  isi
    138. Davies P.A., “Edge-ray principle of nonimaging optics”, J. Opt. Soc. Amer. A, 11:4 (1994), 1256–1259  crossref  mathscinet  adsnasa  isi
    139. K. M. Efimov, “Theorem of Livšic type for dispersed billiards”, Theoret. and Math. Phys., 98:2 (1994), 122–131  mathnet  crossref  mathscinet  zmath  isi
    140. Otto E. Rossler, “Micro constructivism”, Physica D: Nonlinear Phenomena, 75:1-3 (1994), 438  crossref
    141. Maciej P. Wojtkowski, “The system of two spinning disks in the torus”, Physica D: Nonlinear Phenomena, 71:4 (1994), 430  crossref
    142. Zheng Zhigang, Hu Gang, Zhang Juyuan, “Ergodic property of a Henon-Heiles model with reflecting walls”, Phys. Rev. E, 52:4 (1995), 3440–3446  crossref  mathscinet  adsnasa  isi
    143. Gaspard P., Dorfman J.R., “Chaotic scattering theory, thermodynamic formalism, and transport coefficients”, Phys. Rev. E, 52:4, part A (1995), 3525–3552  crossref  mathscinet  adsnasa  isi
    144. Dellago Ch., Posch H.A., “Lyapunov exponents of systems with elastic hard collisions”, Phys. Rev. E, 52:3, part A (1995), 2401–2406  crossref  mathscinet  adsnasa  isi
    145. Balazs N.L., Chatterjee R., Jackson A.D., “Coin tossing as a billiard problem”, Phys. Rev. E, 52:4 (1995), 3608–3613  crossref  mathscinet  adsnasa  isi
    146. Bäcker A., Steiner F., Stifter P., “Spectral statistics in the quantized cardioid billiard”, Phys. Rev. E, 52:3 (1995), 2463–2472  crossref  mathscinet  adsnasa  isi
    147. Gallavotti G., Cohen E.G.D., “Dynamical ensembles in nonequilibrium statistical mechanics”, Phys. Rev. Lett., 74:14 (1995), 2694–2697  crossref  adsnasa  isi
    148. Srednicki M., “Quantum chaos and statistical mechanics”, Ann. N.Y. Acad. Sci., 755:1, Fundamental Problems in Quantum Theory (1995), 757–760  crossref  adsnasa  isi
    149. Gallavotti G., Cohen E.G.D., “Dynamical ensembles in stationary states”, J. Statist. Phys., 80:5-6 (1995), 931–970  crossref  mathscinet  zmath  adsnasa  isi
    150. Markarian R., “Statistical properties of dynamical systems with singularities”, J. Statist. Phys., 80:5-6 (1995), 1207–1239  crossref  mathscinet  zmath  adsnasa  isi
    151. Morriss G.P., Rondoni L., Cohen E.G.D., “A dynamical partition function for the Lorentz gas”, J. Statist. Phys., 80:1-2 (1995), 35–43  crossref  mathscinet  zmath  adsnasa  isi
    152. Chernov N.I., “Limit theorems and Markov approximations for chaotic dynamical systems”, Probab. Theory Related Fields, 101:3 (1995), 321–362  crossref  mathscinet  zmath  isi
    153. Fendrik A.J., Sánchez M.J., “Decay of quasi-bounded classical Hamiltonian systems populated by scattering experiments”, J. Phys. A, 28:15 (1995), 4235–4243  crossref  zmath  adsnasa  isi  elib
    154. Dahlqvist P., “Approximate zeta functions for the Sinai billiard and related systems”, Nonlinearity, 8:1 (1995), 11–28  crossref  mathscinet  zmath  adsnasa  isi  elib
    155. Jarzynski C., “Thermalization of a Brownian particle via coupling to low-dimensional chaos”, Phys. Rev. Lett., 74:15 (1995), 2937–2940  crossref  adsnasa  isi
    156. Bunimovich L.A., “Variational principle for periodic trajectories of hyperbolic billiards”, Chaos, 5:2 (1995), 349–355  crossref  mathscinet  zmath  adsnasa  isi
    157. Fendrik A.J., Sánchez M.J., “Decay of the Sinai well in $D$ dimensions”, Phys. Rev. E, 51:4 (1995), 2996–3001  crossref  adsnasa  isi
    158. Román F.L., White J.A., Velasco S., “Single-particle distributions for small hard particle systems in the microcanonical and in the molecular-dynamics ensembles”, Phys. Rev. E, 51:6 (1995), 6271–6274  crossref  adsnasa  isi
    159. Artuso R., Casati G., Guarneri I., “Geometric scaling of correlation decay in chaotic billiards”, Phys. Rev. E, 51:5, part A (1995), R3807–R3810  crossref  mathscinet  adsnasa  isi
    160. Hakmi A., Bosco F., Antoniou I., “First return map of the periodic Lorentz gas”, Phys. Rev. E, 51:5 (1995), 3952–3956  crossref  adsnasa  isi
    161. Dorfman J.R., Gaspard P., “Chaotic scattering theory of transport and reaction-rate coefficients”, Phys. Rev. E, 51:1 (1995), 28–35  crossref  mathscinet  adsnasa  isi
    162. Hansen L.-U.W., Christensen M., Mosekilde E., “Deterministic analysis of the probability machine”, Phys. Scr., 51:1 (1995), 35–45  crossref  mathscinet  zmath  adsnasa  isi
    163. Simmel F., Eckert M., “Avoided crossings: Curvature distribution and behavior of eigenfunctions of pseudointegrable and chaotic billiards”, Phys. Rev. E, 51:6 (1995), 5435–5441  crossref  adsnasa  isi
    164. Gaspard P., Baras F., “Chaotic scattering and diffusion in the Lorentz gas”, Phys. Rev. E, 51:6 (1995), 5332–5352  crossref  mathscinet  adsnasa  isi
    165. Hackenbroich G., von Oppen F., “Periodic-orbit theory of quantum transport in antidot lattices”, Europhys. Lett., 29:2 (1995), 151–156  crossref  adsnasa  isi
    166. Gallavotti G., “Ergodicity, ensembles, irreversibility in Boltzmann and beyond”, J. Statist. Phys., 78:5-6 (1995), 1571–1589  crossref  mathscinet  zmath  adsnasa  isi
    167. Jonathan P. Bernick, Philip R. Baldwin, “Loss of channeling in a disordered lattice of focusing scatterers”, Physics Letters A, 197:4 (1995), 305  crossref  elib
    168. Wolfgang Bauer, David McGrew, Vladimir Zelevinsky, Peter Schuck, “Regular and chaotic dynamics in giant nuclear oscillations”, Nuclear Physics A, 583 (1995), 93  crossref
    169. Per Dahlqvist, “Periodic orbit asymptotics for intermittent Hamiltonian systems”, Physica D: Nonlinear Phenomena, 83:1-3 (1995), 124  crossref
    170. Barbara Dietz, Uzy Smilansky, “Scattering from a square obstacle”, Physica D: Nonlinear Phenomena, 86:1-2 (1995), 34  crossref
    171. Dellago Ch., Posch H.A., Hoover W.G., “Lyapunov instability in a system of hard disks in equilibrium and nonequilibrium steady states”, Phys. Rev. E, 53:2 (1996), 1485–1501  crossref  adsnasa  isi
    172. Hansen K.T., Kohler A., “Chaotic scattering through potentials with rainbow singularities”, Phys. Rev. E, 54:6 (1996), 6214–6225  crossref  adsnasa  isi
    173. Bunimovich L., Casati G., Guarneri I., “Chaotic focusing billiards in higher dimensions”, Phys. Rev. Lett., 77:14 (1996), 2941–2944  crossref  adsnasa  isi
    174. Eaves L., Fromhold T.M., Sheard F.W., Wilkinson P.B., Henini M., Miura N., Takamasu T., “Quantum chaology in semiconductor heterostructures”, Phys. Scr., T68 (1996), 51–55  crossref  adsnasa  isi
    175. Bunimovich L.A., Spohn H., “Viscosity for a periodic two disk fluid: An existence proof”, Comm. Math. Phys., 176:3 (1996), 661–680  crossref  mathscinet  zmath  adsnasa  isi
    176. Krámli A., “Decay of correlations in one and two dimensions”, J. Statist. Phys., 83:1-2 (1996), 167–191  crossref  mathscinet  zmath  adsnasa  isi
    177. Dahlqvist P., “Lyapunov exponents and anomalous diffusion of a Lorentz gas with infinite horizon using approximate zeta functions”, J. Statist. Phys., 84:3-4 (1996), 773–795  crossref  adsnasa  isi
    178. Chernov N.I., Troubetzkoy S., “Measures with infinite Lyapunov exponents for the periodic Lorentz gas”, J. Statist. Phys., 83:1-2 (1996), 193–202  crossref  mathscinet  zmath  adsnasa  isi
    179. Artuso R., Casati G., Guarneri I., “Numerical experiments on billiards”, J. Statist. Phys., 83:1-2 (1996), 145–166  crossref  mathscinet  zmath  adsnasa  isi
    180. van Beijeren H., Dorfman J.R., Cohen E.G.D., Posch H.A., Dellago Ch., “Lyapunov exponents from kinetic theory for a dilute, field-driven Lorentz gas”, Phys. Rev. Lett., 77:10 (1996), 1974–1977  crossref  adsnasa  isi
    181. Simonazzi R., Tenenbaum A., “Anomalous fluctuations in low-temperature molecular dynamics simulations”, Phys. Rev. E, 54:1 (1996), 964–967  crossref  adsnasa  isi
    182. Tasnádi T., “The behavior of nearby trajectories in magnetic billiards”, J. Math. Phys., 37:11 (1996), 5577–5598  crossref  mathscinet  zmath  adsnasa  isi
    183. Vollmer J., Breymann W., Tél T., “Transient chaos: the origin of transport in driven systems”, Europhys. Lett., 35:9 (1996), 659–664  crossref  adsnasa  isi
    184. Lopes A., Markarian R., “Open billiards: invariant and conditionally invariant probabilities on Cantor sets”, SIAM J. Appl. Math., 56:2 (1996), 651–680  crossref  mathscinet  zmath  isi
    185. Chernov N.I., Haskell C., “Nonuniformly hyperbolic $K$-systems are Bernoulli”, Ergodic Theory Dynam. Systems, 16:1 (1996), 19–44  crossref  mathscinet  zmath
    186. Chatterjee R., Jackson A.D., Balazs N.L., “Rigid-body motion, interacting billiards, and billiards on curved manifolds”, Phys. Rev. E, 53:6 (1996), 5670–5679  crossref  mathscinet  adsnasa  isi
    187. Fließer M., Schmidt G.J.O., Spohn H., “Magnetotransport of the Sinai billiard”, Phys. Rev. E, 53:6 (1996), 5690–5697  crossref  adsnasa  isi
    188. Zheng Zhigang, Hu Gang, Zhang Juyuan, “Ergodicity in hard-ball systems and Boltzmann's entropy”, Phys. Rev. E, 53:4 (1996), 3246–3252  crossref  adsnasa  isi
    189. McGrew D.A., Bauer W., “Constraint operator solution to quantum billiard problems”, Phys. Rev. E, 54:5 (1996), 5809–5818  crossref  adsnasa  isi
    190. Primack H., Schanz H., Smilansky U., Ussishkin I., “Penumbra diffraction in the quantization of dispersing billiards”, Phys. Rev. Lett., 76:10 (1996), 1615–1618  crossref  adsnasa  isi
    191. S. P. Novikov, L. A. Bunimovich, A. M. Vershik, B. M. Gurevich, E. I. Dinaburg, G. A. Margulis, V. I. Oseledets, S. A. Pirogov, K. M. Khanin, N. N. Chentsova, “Yakov Grigor'evich Sinai (on his sixtieth birthday)”, Russian Math. Surveys, 51:4 (1996), 765–778  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    192. Elyutin P., Shan J., “Susceptibility of Chaotic Systems to Perturbations”, Phys. Rev. Lett., 77:25 (1996), 5043–5046  crossref  adsnasa  isi  elib
    193. Raz T., Levine R.D., “Fast translational thermalization of extreme disequilibrium induced by cluster impact”, Chemical Physics, 213:1-3 (1996), 263–275  crossref  adsnasa  isi  elib
    194. Zelevinsky V., Brown B.A., Frazier N., Horoi M., “The nuclear shell model as a testing ground for many-body quantum chaos”, Physics Reports, 276:2-3 (1996), 85–176  crossref  mathscinet  adsnasa  isi  elib
    195. Per Dahlqvist, Roberto Artuso, “On the decay of correlations in Sinai billiards with infinite horizon”, Physics Letters A, 219:3-4 (1996), 212  crossref  elib
    196. Jian-zhong Gu, Xi-zhen Wu, Yi-zhong Zhuo, “The single-particle spectrum and its spacing and curvature distributions in rotating heavy nuclei”, Nuclear Physics A, 611:2-3 (1996), 315  crossref  elib
    197. J. Błocki, C. Jarzyński, W.J. Świa̧tecki, “Effect of dynamical correlations in a slowly pumped Knudsen gas”, Nuclear Physics A, 599:3-4 (1996), 486  crossref  elib
    198. Rupak Chatterjee, A.D. Jackson, “Surfing Arnold's web”, Nuclear Physics A, 606:1-2 (1996), 27  crossref
    199. F. Simmel, M. Eckert, “Statistical measures for eigenfunctions of nonseparable quantum billiard systems”, Physica D: Nonlinear Phenomena, 97:4 (1996), 517  crossref
    200. Ch. Dellago, H.A. Posch, “Lyapunov instability, local curvature, and the fluid-solid phase transition in two-dimensional particle systems”, Physica A: Statistical Mechanics and its Applications, 230:3-4 (1996), 364  crossref
    201. S. Koga, “Global Scaling Laws in 3D Sinai's Billiards”, Progress of Theoretical Physics, 96:6 (1996), 1301  crossref
    202. Taro Nagao, “Magnetotransport through Random Antidot Lattices”, J. Phys. Soc. Jpn, 65:8 (1996), 2606  crossref
    203. Shinbrot T., Khakhar D.V., McCarthy J.J., Ottino J.M., “Role of voids in granular convection”, Phys. Rev. E, 55:5 (1997), 6121–6133  crossref  adsnasa  isi
    204. Lach-hab M., Blaisten-Barojas E., Sauer T., “Irregular scattering of particles confined to ring-bounded cavities”, J. Statist. Phys., 87:1-2 (1997), 137–146  crossref  adsnasa  isi
    205. Cheng Jian, “Surface billiards and nonvanishing Lyapunov exponents”, Acta Math. Sinica (N.S.), 13:1 (1997), 21–34  crossref  mathscinet  zmath
    206. Taylor R.P., Newbury R., Sachrajda A.S., Feng Y., Coleridge P.T., Dettmann C., Zhu Ningjia, Guo Hong, Delage A., Kelly P.J., “Self-similar magnetoresistance of a semiconductor Sinai billiard”, Phys. Rev. Lett., 78:10 (1997), 1952–1955  crossref  adsnasa  isi
    207. Latz A., van Beijeren H., Dorfman J.R., “Lyapunov spectrum and the conjugate pairing rule for a thermostatted random Lorentz gas: kinetic theory”, Phys. Rev. Lett., 78:2 (1997), 207–210  crossref  adsnasa  isi
    208. Furukawa H., “Dynamics of phase separation of a simple fluid mixture: Comparison between molecular dynamics and numerical integration of the phenomenological equation”, Phys. Rev. E, 55:1 (1997), 1150–1161  crossref  adsnasa  isi
    209. Płoszajczak M., Srokowski T., “Solving the Langevin equation with stochastic algebraically correlated noise”, Phys. Rev. E, 55:5 (1997), 5126–5133  crossref  adsnasa  isi
    210. Taylor R.P., Micolich A.P., Newbury R., Dettmann C.P., Fromhold T.M., Semicond Sci Technol, 12:11 (1997), 1459–1464  crossref  adsnasa  isi
    211. Bäcker A., Schubert R., Stifter P., J Phys A Math Gen, 30:19 (1997), 6783–6795  crossref  mathscinet  adsnasa  isi
    212. Chernov N., “Entropy, Lyapunov exponents, and mean free path for billiards”, J. Statist. Phys., 88:1-2 (1997), 1–29  crossref  mathscinet  zmath  adsnasa  isi
    213. Matsuoka H., Martin R.F. (Jr.), “Long-time tails of the velocity autocorrelation functions for the triangular periodic Lorentz gas”, J. Statist. Phys., 88:1-2 (1997), 81–103  crossref  zmath  adsnasa  isi
    214. Dahlqvist P., “The Lyapunov exponent in the Sinai billiard in the small scatterer limit”, Nonlinearity, 10:1 (1997), 159–173  crossref  mathscinet  zmath  adsnasa  isi  elib
    215. Taylor R.P., Micolich A.P., Newbury R., “Correlation analysis of self-similarity in semiconductor billiards”, Phys. Rev. B, 56:20 (1997), R12733–R12736  crossref  adsnasa  isi
    216. Akishin P.G., Bosco F., Vinitsky S.I., “Helmholtz problem for plane periodical structures”, Computers & Mathematics with Applications, 34:5-6 (1997), 613–625  crossref  mathscinet  zmath  isi  elib
    217. T.M. Fromhold, P.B. Wilkinson, L. Eaves, F.W. Sheard, P.C. Main, M. Henini, M.J. Carter, N. Miura, T. Takamasu, “Manifestations of quantum chaos in resonant tunnelling”, Chaos, Solitons & Fractals, 8:7-8 (1997), 1381  crossref  elib
    218. Katsuhiro Nakamura, “Introduction to chaos and quantum transport”, Chaos, Solitons & Fractals, 8:7-8 (1997), 971  crossref  elib
    219. Shiro Kawabata, Katsuhiro Nakamura, “Quantum chaotic transport in ballistic Aharonov-Bohm billiards”, Chaos, Solitons & Fractals, 8:7-8 (1997), 1085  crossref  elib
    220. P.V Elyutin, “Classical susceptibilities of chaotic systems”, Physics Letters A, 233:3 (1997), 175  crossref  elib
    221. R. Willox, I. Antoniou, J. Levitan, “Initial, non-exponential decay in billiards”, Physics Letters A, 226:3-4 (1997), 167  crossref  elib
    222. J.R. Dorfman, Henk van Beijeren, “Dynamical systems theory and transport coefficients: A survey with applications to Lorentz gases”, Physica A: Statistical Mechanics and its Applications, 240:1-2 (1997), 12  crossref
    223. E.G.D. Cohen, “Dynamical ensembles in statistical mechanics”, Physica A: Statistical Mechanics and its Applications, 240:1-2 (1997), 43  crossref
    224. Ch. Dellago, H.A. Posch, “Kolmogorov-Sinai entropy and Lyapunov spectra of a hard-sphere gas”, Physica A: Statistical Mechanics and its Applications, 240:1-2 (1997), 68  crossref
    225. Artur Lopes, R.Daniel Mauldin, “Generic Properties of Open Billiards”, Journal of Mathematical Analysis and Applications, 205:1 (1997), 251  crossref
    226. Yu.A. Kuperin, S.B. Levin, Yu.B. Melnikov, B.S. Pavlov, “Quantum Lorentz gas: Effective equations and spectral analysis”, Computers & Mathematics with Applications, 34:5-6 (1997), 599  crossref
    227. S. Koga, “Scaling Laws of Moments in Sinai's Billiard Systems. I: The Case of Rectangular Lattice”, Progress of Theoretical Physics, 97:3 (1997), 363  crossref
    228. Shiro Kawabata, Katsuhiro Nakamura, “Ballistic Conductance Fluctuation and Quantum Chaos in Sinai Billiard”, J. Phys. Soc. Jpn, 66:3 (1997), 712  crossref
    229. A. Latz, “Lyapunov spectrum of a random Lorentz gas in a magnetic field”, Z. Phys. B, 103:3 (1997), 351  crossref
    230. R. Willox, I. Antoniou, J. Levitan, “Decay of correlations and control of chaotic billiards”, Computers & Mathematics with Applications, 34:2-4 (1997), 391  crossref
    231. Dana I., Feingold M., Wilkinson M., “Band distributions for quantum chaos on a torus”, Phys. Rev. Lett., 81:15 (1998), 3124–3127  crossref  adsnasa  isi
    232. Schweitzer F., Ebeling W., Tilch B., “Complex motion of Brownian particles with energy depots”, Phys. Rev. Lett., 80:23 (1998), 5044–5047  crossref  adsnasa  isi
    233. Micolich A.P., Taylor R.P., Bird J.P., Newbury R., Fromhold T.M., Cooper J., Aoyagi Y., Sugano T., “Scale factor mapping of statistical and exact self-similarity in billiards”, Semicond Sci. Technol., 13:8a (1998), A41–A43  crossref  adsnasa  isi
    234. Dorfman J.R., Latz A., van Beijeren H., “Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy methods for sums of Lyapunov exponents for dilute gases”, Chaos and irreversibility (Budapest, 1997), Chaos, 8, no. 2, 1998, 444–454  crossref  mathscinet  zmath  adsnasa  isi
    235. Tasnádi T., “Hard chaos in magnetic billiards (on the hyperbolic plane)”, J. Math. Phys., 39:7 (1998), 3783–3804  crossref  mathscinet  zmath  adsnasa  isi
    236. Dullin H.R., “Linear stability in billiards with potential”, Nonlinearity, 11:1 (1998), 151–173  crossref  mathscinet  zmath  adsnasa  isi  elib
    237. Daniels V.J., Vallières M., Yuan Jian Min, “Chaotic scattering on a billiard”, Phys. Rev. E, 57:2, part A (1998), 1519–1531  crossref  mathscinet  adsnasa  isi
    238. Bäcker A., Chernov N., “Generating partitions for two-dimensional hyperbolic maps”, Nonlinearity, 11:1 (1998), 79–87  crossref  mathscinet  adsnasa  isi  elib
    239. Turaev D., Rom-Kedar V., “Elliptic islands appearing in near-ergodic flows”, Nonlinearity, 11:3 (1998), 575–600  crossref  mathscinet  zmath  adsnasa  isi  elib
    240. Kawabata Sh., Nakamura K., “$h/2e$ oscillations and quantum chaos in ballistic Aharonov-Bohm billiards”, Phys. Rev. B, 57:11 (1998), 6282–6285  crossref  adsnasa  isi  elib
    241. Wang Jian, Guo Hong, “Statistical analysis of magnetic-field spectra”, Phys. Rev. B, 58:19 (1998), 13094–13098  crossref  adsnasa  isi
    242. Alt H., Bäcker A., Dembowski C., Gräf H.-D., Hofferbert R., Rehfeld H., Richter A., “Mode fluctuation distribution for spectra of superconducting microwave billiards”, Phys. Rev. E, 58:2 (1998), 1737–1742  crossref  adsnasa  isi
    243. Bäcker A., Schubert R., Stifter P., “Rate of quantum ergodicity in Euclidean billiards”, Phys. Rev. E, 57:5, part A (1998), 5425–5447  crossref  mathscinet  adsnasa  isi
    244. Kawabata Sh., “Semiclassical theory of $h/e$ Aharonov-Bohm oscillation for doubly connected ballistic cavities”, Phys. Rev. B, 58:11 (1998), 6704–6707  crossref  adsnasa  isi
    245. Taylor R., Micolich A., Newbury R., Bird J., Fromhold T., Cooper J., Aoyagi Y., Sugano T., “Exact and statistical self-similarity in magnetoconductance fluctuations: a unified picture”, Phys. Rev. B, 58:17 (1998), 11107–11110  crossref  adsnasa  isi
    246. R.P Taylor, A.P Micolich, R Newbury, T.M Fromhold, C Dettmann, C.R Tench, “Experimental and theoretical investigations of clusters in the magneto-fingerprints of Sinai billiards”, Materials Science and Engineering: B, 51:1-3 (1998), 212  crossref
    247. T.M. Fromhold, C.R. Tench, R.P. Taylor, A.P. Micolich, R. Newbury, “Self-similar conductance fluctuations in a Sinai billiard with a mixed chaotic phase space”, Physica B: Condensed Matter, 249-251 (1998), 334  crossref
    248. Latchezar Stoyanov, “Instability and entropy for a class of dispersing billiards”, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 326:6 (1998), 737  crossref
    249. Gerland U., “Spectral statistics and dynamical localization: sharp transition in a generalized Sinai billiard”, Phys. Rev. Lett., 83:6 (1999), 1139–1142  crossref  adsnasa  isi  elib
    250. Dittrich T., Koboldt G., Mehlig B., Schanz H., “Spectral statistics in chaotic systems with two identical, connected cells”, J. Phys. A, 32:39 (1999), 6791–6820  crossref  mathscinet  zmath  adsnasa  isi  elib
    251. Robinett R.W., “Isolated versus nonisolated periodic orbits in variants of the two-dimensional square and circular billiards”, J. Math. Phys., 40:1 (1999), 101–122  crossref  mathscinet  zmath  adsnasa  isi
    252. Oloumi A., Teychenné D., “Controlling Hamiltonian chaos via Gaussian curvature”, Phys. Rev. E, 60:6 (1999), R6279–R6282  crossref  mathscinet  zmath  adsnasa  isi
    253. Harayama T., Shudo A., Tasaki Sh., “Semiclassical Fredholm determinant for strongly chaotic billiards”, Nonlinearity, 12:4 (1999), 1113–1149  crossref  mathscinet  zmath  adsnasa  isi  elib
    254. Vered Rom-Kedar, Dmitry Turaev, “Big islands in dispersing billiard-like potentials”, Physica D: Nonlinear Phenomena, 130:3-4 (1999), 187  crossref
    255. van Beijeren H., Latz A., Dorfman J.R., “Chaotic properties of dilute two- and three-dimensional random Lorentz gases. II. Open systems”, Phys. Rev. E, 63:1 (2000), 016312, 14 pp.  crossref  adsnasa  isi
    256. Kaplan L., Heller E.J., “Short-time effects on eigenstate structure in Sinai billiards and related systems”, Phys. Rev. E, 62:1, part A (2000), 409–426  crossref  mathscinet  adsnasa  isi
    257. Raychaudhuri S., Shapir Y., Chernyak V., Mukamel Sh., “Excitonic funneling in extended dendrimers with nonlinear and random potentials”, Phys. Rev. Lett., 85:2 (2000), 282–285  crossref  adsnasa  isi
    258. Loskutov A., Ryabov A.B., Akinshin L.G., J. Phys. A, 33:44 (2000), 7973–7986  crossref  mathscinet  zmath  adsnasa  isi
    259. Chu W. Kwang-Hua, “Preferred motions for many particles in confined slender domains”, Phys. Scr., 62:6 (2000), 453–457  crossref  adsnasa  isi
    260. Micolich A.P., Taylor R.P., Newbury R., Fromhold T.M., Tench C.R., “An investigation of Weierstrass self-similarity in a semiconductor billiard”, Europhys. Lett., 49:4 (2000), 417–423  crossref  adsnasa  isi
    261. Dellago Ch., Hoover Wm.G., “Finite-precision stationary states at and away from equilibrium”, Phys. Rev. E, 62:5 (2000), 6275–6281  crossref  mathscinet  adsnasa  isi
    262. Shinji Koga, “Numerical Evidence of Universal Scaling Laws of Moments in 2D Sinai's Billiard Systems”, J. Phys. Soc. Jpn, 69:7 (2000), 2011  crossref
    263. Lopac V., “Chaotic behavior in lemon-shaped billiards with elliptical and hyperbolic boundary arcs”, Phys. Rev. E, 64:1 (2001), 016214, 8 pp.  crossref  adsnasa  isi
    264. Gaspard P., Claus I., Dorfman J.R., “Fractality of the hydrodynamic modes of diffusion”, Phys. Rev. Lett., 86:8 (2001), 1506–1509  crossref  adsnasa  isi
    265. Bandtlow O.F., Coveney P.V., “On the existence of dynamical systems with exponentially decaying collision operators”, J. Phys. A, 34:22 (2001), 4585–4599  crossref  mathscinet  zmath  adsnasa  isi  elib
    266. Kokshenev V.B., Vicentini E., “From ballistic to Brownian motion through enhanced diffusion in vertex-splitting polygonal and disk-dispersing Sinai billiards”, Phys. Rev. E, 65:1 (2001), 015201, 4 pp.  crossref  adsnasa  isi
    267. Del Magno G., “Ergodicity of a class of truncated elliptical billiards”, Nonlinearity, 14:6 (2001), 1761–1786  crossref  mathscinet  zmath  adsnasa  isi  elib
    268. S. V. Naydenov, V. V. Yanovskii, “Geometric-Dynamic Approach to Billiard Systems: I. Projective Involution of a Billiard, Direct and Inverse Problems”, Theoret. and Math. Phys., 127:1 (2001), 500–512  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    269. G. A. Galperin, “Billiardy i uprugie stolknoveniya chastits i sharov”, Matem. prosv., ser. 3, 5, MTsNMO, M., 2001, 65–99  mathnet
    270. L. A. Bunimovich, “Rasseyanie, defokusirovka i astigmatizm”, Matem. prosv., ser. 3, 5, MTsNMO, M., 2001, 106–124  mathnet
    271. L. Kaplan, “Structure of quantum chaotic wave functions: ergodicity, localization, and transport”, Physica E: Low-dimensional Systems and Nanostructures, 9:3 (2001), 502  crossref
    272. Bunimovich L.A., “Illumination problem and absolutely focusing mirrors”, Nonimaging Optics: Maximum Efficiency Light Transfer Vi, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 4446, 2001, 185–192  isi
    274. Troy Shinbrot, F.J.. Muzzio, “Noise to order”, Nature, 410:6825 (2001), 251  crossref
    275. Lopac V., Mrkonjić I., Radić D., “Chaotic dynamics and orbit stability in the parabolic oval billiard”, Phys. Rev. E, 66:3 (2002), 036202, 5 pp.  crossref  adsnasa  isi
    276. Dembowski C., Dietz B., Gräf H.-D., Heine A., Papenbrock T., Richter A., Richter C., “Experimental test of a trace formula for a chaotic three-dimensional microwave cavity”, Phys. Rev. Lett., 89:6 (2002), 064101, 4 pp.  crossref  adsnasa  isi
    277. Raychaudhuri S., Shapir Y., Mukamel Sh., “Disorder and funneling effects on exciton migration in treelike dendrimers”, Phys. Rev. E, 65:2 (2002), 021803, 12 pp.  crossref  adsnasa  isi
    278. Harayama T., Klages R., Gaspard P., “Deterministic diffusion in flower-shaped billiards”, Phys. Rev. E, 66:2 (2002), 026211, 7 pp.  crossref  adsnasa  isi
    279. Anishchenko V.S., Vadivasova T.E., Kopeikin A.S., Kurths J., Strelkova G.I., “Peculiarities of the relaxation to an invariant probability measure of nonhyperbolic chaotic attractors in the presence of noise”, Phys. Rev. E, 65:3 (2002), 036206, 10 pp.  crossref  mathscinet  adsnasa  isi
    280. Foltin Ch., “Billiards with positive topological entropy”, Nonlinearity, 15:6 (2002), 2053–2076  crossref  mathscinet  zmath  adsnasa  isi  elib
    281. S. V. Naydenov, V. V. Yanovskii, “Invariant Distributions in Systems with Elastic Reflections”, Theoret. and Math. Phys., 130:2 (2002), 256–270  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    282. Kwang-Hua W. Chu, “Molecular flows in annuli with corrugated walls”, Eur. Phys. J. Appl. Phys., 17:2 (2002), 131–137  crossref  adsnasa  isi
    283. Pène F., “Averaging method for differential equations perturbed by dynamical systems”, ESAIM: P&S, 6 (2002), 33–88  crossref  mathscinet  zmath
    284. L.N Gumen, J Arriaga, A.A Krokhin, “Manifestations of quantum chaos in spectra of 2D photonic crystals”, Physica E: Low-dimensional Systems and Nanostructures, 13:2-4 (2002), 459  crossref
    285. S. V. Naydenov, V. V. Yanovskii, A. V. Tur, “Problem of a billiard in symmetric coordinates”, JETP Letters, 75:8 (2002), 426–431  mathnet  crossref
    286. Kokshenev V.B., Vicentini E., “Slow relaxation in weakly open rational polygons”, Phys. Rev. E, 68:1 (2003), 016221, 8 pp.  crossref  mathscinet  adsnasa  isi
    287. Kwang-Hua Chu A., “Electrokinetic flows in a microdomain”, Phys. Rev. E, 67:4 (2003), 041106, 6 pp.  crossref  adsnasa  isi
    288. Vörös Z., Tasnádi T., Cserti J., Pollner P., “Tunable Lyapunov exponent in inverse magnetic billiards”, Phys. Rev. E, 67:6 (2003), 065202, 4 pp.  crossref  adsnasa  isi
    289. Lenci M., “Semidispersing billiards with an infinite cusp. II”, Chaos, 13:1 (2003), 105–111  crossref  mathscinet  zmath  adsnasa  isi
    290. Viscardy S., Gaspard P., “Viscosity in the escape-rate formalism”, Phys. Rev. E, 68:4 (2003), 041205, 10 pp.  crossref  mathscinet  adsnasa  isi
    291. V. V. Kozlov, D. V. Treschev, “Evolution of Measures in the Phase Space of Nonlinear Hamiltonian Systems”, Theoret. and Math. Phys., 136:3 (2003), 1325–1335  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    292. L. D. Pustyl'nikov, “Generalized continued fractions and ergodic theory”, Russian Math. Surveys, 58:1 (2003), 109–159  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    293. Simányi N., “Proof of the Boltzmann-Sinai ergodic hypothesis for typical hard disk systems”, Invent. Math., 154:1 (2003), 123–178  crossref  mathscinet  zmath  isi  elib
    294. Deryabin M.V., Pustyl'nikov L.D., “Generalized relativistic billiards”, Regul. Chaotic Dyn., 8:3 (2003), 283–296  crossref  mathscinet  zmath  adsnasa  isi  elib
    295. Deryabin M.V., Pustyl'nikov L.D., “On generalized relativistic billiards in external force fields”, Lett. Math. Phys., 63:3 (2003), 195–207  crossref  mathscinet  zmath  isi  elib
    296. Nándor Bokor, Nir Davidson, “Chaotic and integrable reflective tube shapes for anamorphic, adiabatic transformation of diffuse light”, Optics Communications, 226:1-6 (2003), 89  crossref
    297. Péter Bálint, I.P.éter Tóth, “Correlation Decay in Certain Soft Billiards”, Commun. Math. Phys, 243:1 (2003), 55  crossref
    298. Mülken O., van Beijeren H., “Thermodynamic formalism for field-driven Lorentz gases”, Phys. Rev. E, 69:4 (2004), 046203, 9 pp.  crossref  adsnasa  isi
    299. Gaies A., El-Akrmi A., “Fractional variational principle in macroscopic picture”, Phys. Scr., 70:1 (2004), 7–10  crossref  zmath  adsnasa  isi
    300. Dembowski C., Dietz B., Friedrich T., Gräf H.-D., Heine A., Mejía-Monasterio C., Miski-Oglu M., Richter A., Seligman T.H., “First experimental evidence for quantum echoes in scattering systems”, Phys. Rev. Lett., 93:13 (2004), 134102, 4 pp.  crossref  adsnasa  isi
    301. Simanyi N., “Proving the ergodic hypothesis for billiards with disjoint cylindric scatterers”, Nonlinearity, 17:1 (2004), 1–21  crossref  mathscinet  zmath  adsnasa  isi  elib
    302. Deryabin M.V., Pustyl'nikov L.D., “Exponential attractors in generalized relativistic billiards”, Comm. Math. Phys., 248:3 (2004), 527–552  crossref  mathscinet  zmath  adsnasa  isi  elib
    303. P BALINT, “Mixing and its rate in ?soft? and ?hard? billiards motivated by the Lorentz process”, Physica D: Nonlinear Phenomena, 187:1-4 (2004), 128  crossref  elib
    304. I Claus, “Fractals and dynamical chaos in a random 2D Lorentz gas with sinks”, Physica D: Nonlinear Phenomena, 187:1-4 (2004), 146  crossref  elib
    305. Shinbrot T., “Fluid dynamics: Drat such custard!”, Appl. Opt., 438:7070 (2005), 922–923  crossref  isi
    306. Jenkinson O., “Maximum hitting frequency and fastest mean return time”, Nonlinearity, 18:5 (2005), 2305–2321  crossref  mathscinet  zmath  isi
    307. Bunimovich L.A., Demers M.F., “Deterministic Models of the Simplest Chemical Reactions”, J. Stat. Phys., 120:1-2 (2005), 239–252  crossref  mathscinet  zmath  adsnasa  isi
    308. Vesely F.J., “Explaining Gibbsean phase space to second year students”, Eur. J. Phys., 26:2 (2005), 243–250  crossref  isi
    309. Evesque P., Palencia F., Lecoutre-Chabot C., Beysens D., Garrabos Y., “Granular gas in weightlessness: The limit case of very low densities of non interacting spheres”, Microgravity Sci. Technol., 16:1-4 (2005), 280–284  crossref  isi
    310. Goussev A., Dorfman J.R., “Lyapunov spreading of semiclassical wave packets for the Lorentz gas: Theory and applications”, Phys. Rev. E, 71:2 (2005), 026225, 10 pp.  crossref  adsnasa  isi
    311. van Beijeren H., Mülken O., “Thermodynamic formalism for the Lorentz gas with open boundaries in $d$ dimensions”, Phys. Rev. E, 71:3 (2005), 036213, 7 pp.  crossref  adsnasa  isi
    312. Schanz H., Prusty M., “Directed chaos in a billiard chain with transversal magnetic field”, J. Phys. A, 38:47 (2005), 10085–10100  crossref  mathscinet  zmath  adsnasa  isi  elib
    313. Chernov N., Zhang H.-K., “Billiards with polynomial mixing rates”, Nonlinearity, 18:4 (2005), 1527–1553  crossref  mathscinet  zmath  adsnasa  isi
    314. Castaldi G., Fiumara V., Galdi V., Pierro V., Pinto I.M., Felsen L.B., “Ray-chaotic footprints in deterministic wave dynamics: a test model with coupled Floquet-type and ducted-type mode characteristics”, IEEE Trans. Antennas Propagat., 53:2 (2005), 753–765  crossref  adsnasa  isi
    315. V. S. Anishchenko, T. E. Vadivasova, G. A. Okrokvertskhov, G. I. Strelkova, “Statistical properties of dynamical chaos”, Phys. Usp., 48:2 (2005), 151–166  mathnet  crossref  crossref  adsnasa  isi  elib  elib
    316. Valery Kokshenev, “On Chaotic Dynamics in Rational Polygonal Billiards”, SIGMA, 1 (2005), 014, 9 pp.  mathnet  crossref  mathscinet  zmath
    317. Otto E. Rossler,, Ramis Movassagh, “Bitemporal Dynamic Sinai Divergence: An Energetic Analog to Boltzmann's Entropy?”, International Journal of Nonlinear Sciences and Numerical Simulation, 6:4 (2005), 349  crossref
    318. N. CHERNOV, H.-K. ZHANG, “A FAMILY OF CHAOTIC BILLIARDS WITH VARIABLE MIXING RATES”, Stoch. Dyn, 05:04 (2005), 535  crossref
    319. Hurtado P.I., Redner S., “Simplest piston problem. I. Elastic collisions”, Phys. Rev. E, 73:1 (2006), 016136, 8 pp.  crossref  adsnasa  isi
    320. Radionov S., “Classical chaos effect on nuclear collective motion”, Phys. Scr., t125 (2006), 151–157  crossref  adsnasa  isi
    321. Kruis H.V., Panja D., van Beijeren H., “Systematic density expansion of the Lyapunov exponents for a two-dimensional random Lorentz gas”, J. Stat. Phys., 124:2-4 (2006), 823–842  crossref  mathscinet  zmath  adsnasa  isi
    322. Boca F.P., Zaharescu A., “The distribution of the free path lengths in the periodic two-dimensional Lorentz gas in the small-scatterer limit”, Comm. Math. Phys., 269:2 (2006), 425–471  crossref  mathscinet  adsnasa  isi
    323. Dietz B., Friedrich T., Miski-Oglu M., Richter A., Seligman T.H., Zapfe K., “Nonperiodic echoes from mushroom billiard hats”, Phys. Rev. E, 74:5 (2006), 056207, 8 pp.  crossref  adsnasa  isi
    324. Chernov N., “Advanced statistical properties of dispersing billiards”, J. Stat. Phys., 122:6 (2006), 1061–1094  crossref  mathscinet  zmath  adsnasa  isi
    325. Rapoport A., Rom-Kedar V., “Nonergodicity of the motion in three-dimensional steep repelling dispersing potentials”, Chaos, 16:4 (2006), 043108, 6 pp.  crossref  mathscinet  zmath  adsnasa  isi
    326. Lansel S., Porter M.A., Bunimovich L.A., “One-particle and few-particle billiards”, Chaos, 16:1 (2006), 013129, 12 pp.  crossref  mathscinet  zmath  adsnasa  isi
    327. Hongqiang Xia, “Distribution of closed orbits of billiard flows on the plane”, Nonlinear Analysis: Theory, Methods & Applications, 64:6 (2006), 1262  crossref
    328. Valery B. Kokshenev, Eduardo Vicentini, “Physical insight into superdiffusive dynamics of Sinai billiard through collision statistics”, Physica A: Statistical Mechanics and its Applications, 360:2 (2006), 197  crossref
    329. Zorich A., “Flat surfaces”, Frontiers in Number Theory, Physics and Geometry I - ON RANDOM MATRICES, ZETA FUNCTIONS, AND DYNAMICAL SYSTEMS, 2006, 439–585  isi
    331. Leonel E.D., “Corrugated waveguide under scaling investigation”, Phys. Rev. Lett., 98:11 (2007), 114102, 4 pp.  crossref  adsnasa  isi
    332. Deryabin M.V., Pustyl'nikov L.D., “Nonequilibrium gas and generalized billiards”, J. Stat. Phys., 126:1 (2007), 117–132  crossref  mathscinet  zmath  adsnasa  isi  elib
    333. Chernov N., Markarian R., “Dispersing billiards with cusps: slow decay of correlations”, Comm. Math. Phys., 270:3 (2007), 727–758  crossref  mathscinet  zmath  adsnasa  isi
    334. Rapoport A., Rom-Kedar V., Turaev D., “Approximating Multi-Dimensional Hamiltonian Flows by Billiards”, Comm. Math. Phys., 272:3 (2007), 567–600  crossref  mathscinet  zmath  adsnasa  isi  elib
    335. Dietz B., Friedrich T., Miski-Oglu M., Richter A., Schäfer F., “Spectral properties of Bunimovich mushroom billiards”, Phys. Rev. E, 75:3 (2007), 035203, 4 pp.  crossref  mathscinet  adsnasa  isi
    336. Chernov N., “A stretched exponential bound on time correlations for billiard flows”, J. Stat. Phys., 127:1 (2007), 21–50  crossref  mathscinet  zmath  adsnasa  isi
    337. Eckmann J.-P., Jacquet Ph., “Controllability for chains of dynamical scatterers”, Nonlinearity, 20:7 (2007), 1601–1617  crossref  mathscinet  zmath  adsnasa  isi
    338. Chernov N., Dolgopyat D., “Diffusive motion and recurrence on an idealized Galton board”, Phys. Rev. Lett., 99:3 (2007), 030601, 4 pp.  crossref  adsnasa  isi
    339. Karlis A.K., Papachristou P.K., Diakonos F.K., Constantoudis V., Schmelcher P., “Fermi acceleration in the randomized driven Lorentz gas and the Fermi-Ulam model”, Phys. Rev. E, 76:1 (2007), 016214, 17 pp.  crossref  adsnasa  isi
    340. Kobre E., Young Lai-Sang, “Extended systems with deterministic local dynamics and random jumps”, Comm. Math. Phys., 275:3 (2007), 709–720  crossref  mathscinet  zmath  adsnasa  isi
    341. Kamphorst S.O., Leonel E.D., da Silva J.K.L., “The presence and lack of Fermi acceleration in nonintegrable billiards”, J. Phys. A, 40:37 (2007), F887–F893  crossref  mathscinet  zmath  adsnasa  isi
    342. A. Yu. Loskutov, “Dynamical chaos: systems of classical mechanics”, Phys. Usp., 50:9 (2007), 939–964  mathnet  crossref  crossref  adsnasa  isi  elib
    343. Jürgen F. Stilck, “Particle–wall collision statistics in the open circular billiard”, Physica A: Statistical Mechanics and its Applications, 381 (2007), 22  crossref
    344. Gérard G. Emch, “Models and the dynamics of theory-building in physics. Part II—Case studies”, Studies In History and Philosophy of Science Part B: Studies In History and Philosophy of Modern Physics, 38:4 (2007), 683  crossref
    345. Hongqiang Xia, Yunfei Ge, Zhengjie Zhang, “Equidistribution of closed orbits of billiard flows on the plane”, Acta Mathematica Scientia, 27:3 (2007), 465  crossref
    346. Chernov N., Zhang H.-K., “Regularity of Bunimovich's stadia”, Regular & Chaotic Dynamics, 12:3 (2007), 335–356  crossref  isi
    347. Melbourne I., “Rapid Decay of Correlations for Nonuniformly Hyperbolic Flows”, Trans. Am. Math. Soc., 359:5 (2007), 2421–2441  crossref  isi
    348. N. Chernov, H. -K. Zhang, “Improved Estimates for Correlations in Billiards”, Commun. Math. Phys, 277:2 (2007), 305  crossref
    349. Bardos C., Garnier J., Papanicolaou G., “Identification of Green's functions singularities by cross correlation of noisy signals”, Inverse Problems, 24:1 (2008), 015011, 26 pp.  crossref  mathscinet  zmath  adsnasa  isi
    350. Rapoport A., Rom-Kedar V., “Chaotic scattering by steep repelling potentials”, Phys. Rev. E, 77:1 (2008), 016207, 16 pp.  crossref  mathscinet  adsnasa  isi
    351. Rapoport A., Rom-Kedar V., Turaev D., “Stability in high dimensional steep repelling potentials”, Comm. Math. Phys., 279:2 (2008), 497–534  crossref  mathscinet  zmath  adsnasa  isi  elib
    352. Courbage M., Edelman M., Saberi Fathi S.M., Zaslavsky G.M., “Problem of transport in billiards with infinite horizon”, Phys. Rev. E, 77:3 (2008), 036203, 5 pp.  crossref  mathscinet  adsnasa  isi
    353. Malinin S.V., Chernyak V.Y., “Classical nonlinear response of a chaotic system. I. Collective resonances”, Phys. Rev. E, 77:5 (2008), 056201, 21 pp.  crossref  mathscinet  adsnasa  isi
    354. Gelfreich V., Turaev D., “Unbounded energy growth in Hamiltonian systems with a slowly varying parameter”, Comm. Math. Phys., 283:3 (2008), 769–794  crossref  mathscinet  zmath  adsnasa  isi  elib
    355. Gendelman O.V., Manevitch L.I., “Discrete breathers in vibroimpact chains: analytic solutions”, Phys. Rev. E, 78:2 (2008), 026609, 6 pp.  crossref  mathscinet  adsnasa  isi
    356. Bachurin P., Bálint P., Tóth I.P., “Local ergodicity for systems with growth properties including multi-dimensional dispersing billiards”, Israel J. Math., 167:1 (2008), 155–175  crossref  mathscinet  zmath  isi
    357. Bunimovich L.A., Del Magno G., “Semi-focusing billiards: ergodicity”, Ergodic Theory Dynam. Systems, 28:5 (2008), 1377–1417  crossref  mathscinet  zmath  isi
    358. Malinin S.V., Chernyak V.Y., “Collective oscillations in the classical nonlinear response of a chaotic system”, Phys. Rev. E, 77:2 (2008), 025201, 4 pp.  crossref  adsnasa  isi
    359. Taylor M.P., Isik K., Luettmer-Strathmann J., “Dynamics of a single polymer chain: ergodicity and conformation of a rotating chain”, Phys. Rev. E, 78:5 (2008), 051805, 13 pp.  crossref  mathscinet  adsnasa  isi
    360. Dietz B., Mößner B., Papenbrock T., Reif U., Richter A., “Bouncing ball orbits and symmetry breaking effects in a three-dimensional chaotic billiard”, Phys. Rev. E, 77:4 (2008), 046221, 10 pp.  crossref  adsnasa  isi
    361. Castaldi G., Galdi V., Pinto I.M., “A study of ray-chaotic cylindrical scatterers”, IEEE Trans. Antennas Propagat., 56:8 (2008), 2638–2648  crossref  adsnasa  isi
    362. L BUSSOLARI, M LENCI, “Hyperbolic billiards with nearly flat focusing boundaries, I”, Physica D: Nonlinear Phenomena, 237:18 (2008), 2272  crossref
    363. Domokos Szász, “Some challenges in the theory of (semi)-dispersing billiards”, Nonlinearity, 21:10 (2008), T187  crossref
    364. Denis Gouvêa Ladeira, Jafferson Kamphorst Leal da Silva, “Scaling features of a breathing circular billiard”, J. Phys. A: Math. Theor, 41:36 (2008), 365101  crossref
    365. F.M. Zanetti, E. Vicentini, M.G.E. da Luz, “Eigenstates and scattering solutions for billiard problems: A boundary wall approach”, Annals of Physics, 323:7 (2008), 1644  crossref
    366. Balint P., Melbourne I., “Decay of Correlations and Invariance Principles for Dispersing Billiards with Cusps, and Related Planar Billiard Flows”, J Stat Phys, 133:3 (2008), 435–447  crossref  isi
    367. Chernov N., “Sinai billiards under small external forces II”, Ann Henri Poincaré, 9:1 (2008), 91–107  crossref  isi
    368. Chernov N., Zhang H.-K., “Improved estimates for correlations in billiards”, Comm Math Phys, 277:2 (2008), 305–321  isi
    369. QIUDONG WANG, ALI OKSASOGLU, “RANK ONE CHAOS: THEORY AND APPLICATIONS”, Int. J. Bifurcation Chaos, 18:05 (2008), 1261  crossref
    370. Dolgopyat D. Szasz D. Varju T., “Recurrence Properties of Planar Lorentz Process”, Duke Math. J., 142:2 (2008), 241–281  crossref  isi
    371. M. Courbage, S.M. Saberi Fathi, “Computation of entropy increase for Lorentz gas and hard disks”, Communications in Nonlinear Science and Numerical Simulation, 13:2 (2008), 444  crossref
    372. Simányi N., “Conditional proof of the Boltzmann-Sinai ergodic hypothesis”, Invent. Math., 177:2 (2009), 381–413  crossref  mathscinet  zmath  isi
    373. Oliveira D.F.M., Bizão R.A., Leonel E.D., “Scaling properties of a hybrid Fermi-Ulam-bouncer model”, Math. Probl. Eng., 2009, 213857, 13 pp.  crossref  mathscinet  zmath  isi
    374. Arroyo A., Markarian R., Sanders D.P., “Bifurcations of periodic and chaotic attractors in pinball billiards with focusing boundaries”, Nonlinearity, 22:7 (2009), 1499–1522  crossref  mathscinet  zmath  adsnasa  isi
    375. Simula T., Stenlund M., “Deterministic walks in quenched random environments of chaotic maps”, J. Phys. A, 42:24 (2009), 245101, 14 pp.  crossref  mathscinet  zmath  adsnasa  isi
    376. D. I. Dolgopyat, N. I. Chernov, “Anomalous current in periodic Lorentz gases with infinite horizon”, Russian Math. Surveys, 64:4 (2009), 651–699  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    377. Chernov N., Zhang Hong-Kun, “On statistical properties of hyperbolic systems with singularities”, J. Stat. Phys., 136:4 (2009), 615–642  crossref  mathscinet  zmath  adsnasa  isi
    378. Yu. E. Kuzovlev, “Molecular random walk and a symmetry group of the Bogoliubov equation”, Theoret. and Math. Phys., 160:3 (2009), 1301–1315  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    379. Pène F., “Transient random walk in $\mathbb Z^2$ with stationary orientations”, ESAIM Probab. Stat., 13 (2009), 417–436  crossref  mathscinet  zmath
    380. Petkov V., Stoyanov L., “Correlations for pairs of periodic trajectories for open billiards”, Nonlinearity, 22:11 (2009), 2657–2679  crossref  mathscinet  zmath  adsnasa  isi
    381. Leonel E.D., “Phase transition in dynamical systems: defining classes of universality for two-dimensional Hamiltonian mappings via critical exponents”, Math. Probl. Eng., 2009, 367921, 22 pp.  crossref  mathscinet  zmath  isi
    382. Markarian R., Pujals E.J., Sambarino M., “Pinball billiards with dominated splitting”, Ergod. Th. Dynam. Sys., 2009  crossref  mathscinet  isi
    383. Bäcker A., Dietz B., Friedrich T., Miski-Oglu M., Richter A., Schäfer F., Tomsovic S., “Friedel oscillations in microwave billiards”, Phys. Rev. E, 80:6 (2009), 066210, 5 pp.  crossref  adsnasa  isi
    384. Chernov N., Dolgopyat D., Brownian Brownian motion. I, Mem. Amer. Math. Soc., 198, no. 927, 2009, viii+193 pp.  mathscinet  isi
    385. Dettmann C.P., Georgiou O., “Survival probability for the stadium billiard”, Physica D: Nonlinear Phenomena, 238:23-24 (2009), 2395–2403  crossref  mathscinet  zmath  adsnasa  isi
    386. Bunimovich L.A., “Criterion of absolute focusing for focusing component of billiards”, Regular & Chaotic Dynamics, 14:1 (2009), 42–48  crossref  mathscinet  adsnasa  isi
    387. J. Acacio de Barros, Patrick Suppes, “Quantum mechanics, interference, and the brain”, Journal of Mathematical Psychology, 53:5 (2009), 306  crossref
    388. Chernov N., Dolgopyat D., “The Calton Board: Limit Theorems and Recurrence”, J Amer Math Soc, 22:3 (2009), 821–858  isi
    389. Dolgopyat D., Szasz D., Varju T., “Limit Theorems for Locally Perturbed Planar Lorentz Processes”, Duke Math J, 148:3 (2009), 459–499  crossref  isi
    390. Melbourne I. Nicol M., “A Vector-Valued Almost Sure Invariance Principle for Hyperbolic Dynamical Systems”, Ann. Probab., 37:2 (2009), 478–505  crossref  isi
    391. Melbourne I., “Decay of Correlations for Slowly Mixing Flows”, Proc. London Math. Soc., 98 (2009), 163–190  crossref  isi
    392. Pène F., Saussol B., “Back to balls in billiards”, Comm. Math. Phys., 293:3 (2010), 837–866  crossref  mathscinet  zmath  adsnasa  isi
    393. Ryabov A.B., Loskutov A., “Time-dependent focusing billiards and macroscopic realization of Maxwell's demon”, J. Phys. A, 43:12 (2010), 125104, 15 pp.  crossref  mathscinet  zmath  adsnasa  isi
    394. S. V. Bolotin, D. V. Treschev, “Hill's formula”, Russian Math. Surveys, 65:2 (2010), 191–257  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    395. Lenci M., “On infinite-volume mixing”, Comm. Math. Phys., 298:2 (2010), 485–514  crossref  mathscinet  zmath  adsnasa  isi
    396. Koiller J., Young Lai-Sang, “Coupled map networks”, Nonlinearity, 23:5 (2010), 1121–1141  crossref  mathscinet  zmath  adsnasa  isi
    397. Stenlund M., “A strong pair correlation bound implies the CLT for Sinai billiards”, J. Statist. Phys., 140:1 (2010), 154–169  crossref  mathscinet  zmath  adsnasa  isi
    398. Chernov N., Dolgopyat D., “Lorentz gas with thermostatted walls”, Ann. Henri Poincaré, 11:6 (2010), 1117–1169  crossref  mathscinet  zmath  adsnasa  isi
    399. Hackenbroich G., von Oppen F., “Quantum corrections to the conductivity and periodic orbits: Integrable systems”, Ann. Physics, 508:8 (2010), 696–709  crossref  mathscinet
    400. Anteneodo C., Vallejos R.O., “Lyapunov exponent of the random frequency oscillator: cumulant expansion approach”, J. Phys. Conf. Ser., 246 (2010), 012002, 9 pp.  crossref  adsnasa
    401. Feres R., Zhang Hong-Kun, “The spectrum of the billiard Laplacian of a family of random billiards”, J. Statist. Phys., 141:6 (2010), 1039–1054  crossref  mathscinet  zmath  adsnasa  isi
    402. Petkov V., Stoyanov L., “Analytic continuation of the resolvent of the Laplacian and the dynamical zeta function”, APDE, 3:4 (2010), 427–489  crossref  mathscinet  isi
    403. Kwang-Hua, Chu Zotin, “Dispersion relations of plane waves in system of hard-disk-like rotating gases”, Eur. Phys. J. Appl. Phys., 52:3 (2010), 31304  crossref  adsnasa  isi
    404. Tudorovskiy T., Kuhl U., Stöckmann H.-J., “Singular statistics revised”, New J. Phys., 12:12 (2010), 123021, 28 pp.  crossref  isi
    405. A. Yu. Loskutov, “Fascination of chaos”, Phys. Usp., 53:12 (2010), 1257–1280  mathnet  crossref  crossref  isi  elib
    406. Bernard E.P., Chanal C., Krauth W., “Damage spreading and coupling in Markov chains”, Europhys Lett EPL, 92:6 (2010), 60004  crossref  adsnasa  isi
    407. Chernov N., “The work of Dmitry Dolgopyat on physical models with moving particles”, Journal of Modern Dynamics, 4:2 (2010), 243–255  crossref  mathscinet  zmath  isi
    408. Oliveira D.F.M., Leonel E.D., “On the dynamical properties of an elliptical–oval billiard with static boundary”, Communications in Nonlinear Science and Numerical Simulation, 15:4 (2010), 1092–1102  crossref  mathscinet  adsnasa  isi  elib
    409. A. Yu. Loskutov, A. B. Ryabov, A. K. Krasnova, O. A. Chichigina, “Bilyardy s vozmuschaemymi granitsami i nekotorye ikh svoistva”, Nelineinaya dinam., 6:3 (2010), 573–604  mathnet  elib
    410. J.F. Laprise, A. Hosseinizadeh, J. Lamy-Poirier, R. Zomorrodi, J. Kröger, H. Kröger, “Universality in level spacing fluctuations of a chaotic optical billiard”, Physics Letters A, 374:19-20 (2010), 2000  crossref  elib
    411. Alexander Loskutov, Alexei Ryabov, Edson D. Leonel, “Separation of particles in time-dependent focusing billiards”, Physica A: Statistical Mechanics and its Applications, 389:23 (2010), 5408  crossref
    412. Diego F.M. Oliveira, Edson D. Leonel, “Suppressing Fermi acceleration in a two-dimensional non-integrable time-dependent oval-shaped billiard with inelastic collisions”, Physica A: Statistical Mechanics and its Applications, 389:5 (2010), 1009  crossref
    413. Yi-Chiuan Chen, “On topological entropy of billiard tables with small inner scatterers”, Advances in Mathematics, 224:2 (2010), 432  crossref
    414. C. Bianca, “On the mathematical transport theory in microporous media: The billiard approach”, Nonlinear Analysis: Hybrid Systems, 4:4 (2010), 699  crossref
    415. Sinai Y.G., “Chaos Theory Yesterday, Today and Tomorrow”, J Stat Phys, 138:1–3 (2010), 2–7  crossref  isi
    416. Demers M., Wright P., Young L.-S., “Escape Rates and Physically Relevant Measures for Billiards with Small Holes”, Comm Math Phys, 294:2 (2010), 353–388  crossref  isi
    417. Bunimovich L.A., Grigo A., “Focusing Components in Typical Chaotic Billiards Should be Absolutely Focusing”, Comm Math Phys, 293:1 (2010), 127–143  crossref  isi
    418. Liverani C., “On the Work and Vision of Dmitry Dolgopyat”, J. Mod. Dyn., 4:2 (2010), 211–225  crossref  isi
    419. Hong-Kun Zhang, “MIXING RATE FOR RECTANGULAR BILLIARDS WITH DIAMOND RECTANGLES”, American Journal of Mathematical and Management Sciences, 30:1-2 (2010), 53  crossref
    420. Harayama T., Shinohara S., “Two-dimensional microcavity lasers”, Laser & Photon. Rev., 5:2 (2011), 247–271  crossref  isi
    421. Gelfreich V., Rom-Kedar V., Shah K., Turaev D., “Robust exponential acceleration in time-dependent billiards”, Phys. Rev. Lett., 106:7 (2011), 074101, 4 pp.  crossref  adsnasa  isi
    422. Gilbert Th., Sanders D.P., “Stable and unstable regimes in higher-dimensional convex billiards with cylindrical shape”, New J. Phys, 13:2 (2011), 023040, 50 pp.  crossref  isi
    423. Novikov D.S., Fieremans E., Jensen J.H., Helpern J.A., “Random walks with barriers”, Nat. Phys., 2011  crossref
    424. Stoyanov L., “Non-integrability of open billiard flows and Dolgopyat-type estimates”, Ergod. Th. Dynam. Sys., 2011  crossref  zmath
    425. Livorati A.L.P., Loskutov A., Leonel E.D., “A family of stadium-like billiards with parabolic boundaries under scaling analysis”, J. Phys. A, 44:17 (2011), 175102, 12 pp.  crossref  adsnasa  isi
    426. Shah K., “Energy growth rate in smoothly oscillating billiards”, Phys. Rev. E, 83:4 (2011), 046215, 4 pp.  crossref  adsnasa
    427. Hong-Kun Zhang, “Estimates for correlations in billiards with large arcs”, Acta Math. Appl. Sin. Engl. Ser, 27:3 (2011), 381  crossref
    428. Juliano A. de Oliveira, Edson D. Leonel, “Locating invariant tori in a family of two-dimensional Hamiltonian mappings”, Physica A: Statistical Mechanics and its Applications, 2011  crossref
    429. Astrid S de Wijn, Henk van Beijeren, “A radius of curvature approach to the Kolmogorov–Sinai entropy of dilute hard particles in equilibrium”, J. Stat. Mech, 2011:08 (2011), P08012  crossref
    430. E. M. Ganapolskii, Yu. V. Tarasov, L. D. Shostenko, “Spectral properties of cylindrical quasioptical cavity resonator with random inhomogeneous side boundary”, Phys. Rev. E, 84:2 (2011)  crossref
    431. P. Bálint, N. Chernov, D. Dolgopyat, “Limit Theorems for Dispersing Billiards with Cusps”, Commun. Math. Phys, 2011  crossref
    432. A. ARBIETO, R. MARKARIAN, M. J. PACIFICO, R. SOARES, “Scaling rate for semi-dispersing billiards with non-compact cusps”, Ergod. Th. Dynam. Sys, 2011, 1  crossref
    433. E. A. Gutkin, “Dinamika billiarda: obzornaya statya s aktsentom na nereshennye zadachi”, Nelineinaya dinam., 7:3 (2011), 489–512  mathnet
    434. Carl P. Dettmann, “New Horizons in Multidimensional Diffusion: The Lorentz Gas and the Riemann Hypothesis”, J Stat Phys, 2011  crossref
    435. Alexander Jonathan Vidgop, Itzhak Fouxon, “Evolution of collision numbers for a chaotic gas dynamics”, Phys. Rev. E, 84:5 (2011)  crossref
    436. Edson D. Leonel, Diogo R. da Costa, Carl P. Dettmann, “Scaling invariance for the escape of particles from a periodically corrugated waveguide”, Physics Letters A, 2011  crossref
    437. M. Leitner, M.P. Leubner, Z. Vörös, “Creating kappa-like distributions from a Galton board”, Physica A: Statistical Mechanics and its Applications, 390:7 (2011), 1248  crossref
    438. V. Lopac, A. Šimić, “Chaotic properties of the truncated elliptical billiards”, Communications in Nonlinear Science and Numerical Simulation, 16:1 (2011), 309  crossref
    439. Carlo Bianca, “Weyl-flow and the conformally symplectic structure of thermostatted billiards: The problem of the hyperbolicity”, Nonlinear Analysis: Hybrid Systems, 5:1 (2011), 32  crossref
    441. I. MIKOSS, P. GARCÍA, “AN EXACT MAP FOR A CHAOTIC BILLIARD”, Int. J. Mod. Phys. B, 25:05 (2011), 673  crossref
    442. Steffen Löck, Arnd Bäcker, Roland Ketzmerick, “Coupling of bouncing-ball modes to the chaotic sea and their counting function”, Phys. Rev. E, 85:1 (2012)  crossref
    443. Keith Burns, Howard Masur, Amie Wilkinson, “The Weil-Petersson geodesic flow is ergodic”, Ann. Math, 175:2 (2012), 835  crossref
    444. Raúl Vallejos, Celia Anteneodo, “Generalized Lyapunov exponents of the random harmonic oscillator: Cumulant expansion approach”, Phys. Rev. E, 85:2 (2012)  crossref
    445. Edson D. Leonel, Carl P. Dettmann, “Recurrence of particles in static and time varying oval billiards”, Physics Letters A, 2012  crossref
    446. André L.P. Livorati, Alexander Loskutov, Edson D. Leonel, “A peculiar Maxwell’s Demon observed in a time-dependent stadium-like billiard”, Physica A: Statistical Mechanics and its Applications, 2012  crossref
    447. A.P. Micolich, A.M. See, B.C. Scannell, C.A. Marlow, T.P. Martin, I. Pilgrim, A.R. Hamilton, H. Linke, R.P. Taylor, “Is it the boundaries or disorder that dominates electron transport in semiconductor ‘billiards’?”, Fortschr. Phys, 2012, n/a  crossref
    448. André L. P. Livorati, Ibere^ L. Caldas, Edson D. Leonel, “Decay of energy and suppression of Fermi acceleration in a dissipative driven stadium-like billiard”, Chaos, 22:2 (2012), 026122  crossref
    449. N. Chernov, A. Korepanov, N. Simányi, “Stable regimes for hard disks in a channel with twisting walls”, Chaos, 22:2 (2012), 026105  crossref
    450. V. Rom-Kedar, D. Turaev, “Billiards: A singular perturbation limit of smooth Hamiltonian flows”, Chaos, 22:2 (2012), 026102  crossref
    451. Diego F. M. Oliveira, Edson D. Leonel, “In-flight and collisional dissipation as a mechanism to suppress Fermi acceleration in a breathing Lorentz gas”, Chaos, 22:2 (2012), 026123  crossref
    452. GIANLUIGI DEL MAGNO, ROBERTO MARKARIAN, “A local ergodic theorem for non-uniformly hyperbolic symplectic maps with singularities”, Ergod. Th. Dynam. Sys, 2012, 1  crossref
    453. V. Gelfreich, V. Rom-Kedar, D. Turaev, “Fermi acceleration and adiabatic invariants for non-autonomous billiards”, Chaos, 22:3 (2012), 033116  crossref
    454. Hong-Kun Zhang, “Free path of billiards with flat points”, DCDS-A, 32:12 (2012), 4445  crossref
    455. Stefano Bernardi, J. S. Hansen, Federico Frascoli, B. D. Todd, Carl P. Dettmann, “Ergodicity of a Single Particle Confined in a Nanopore”, J Stat Phys, 2012  crossref
    456. A. Karlis, F. Diakonos, C. Petri, P. Schmelcher, “Criticality and Strong Intermittency in the Lorentz Channel”, Phys. Rev. Lett, 109:11 (2012)  crossref
    457. DIEGO F. M. OLIVEIRA, MARKO ROBNIK, “SCALING INVARIANCE IN A TIME-DEPENDENT ELLIPTICAL BILLIARD”, Int. J. Bifurcation Chaos, 22:09 (2012), 1250207  crossref
    458. Giulio Casati, Tomaž Prosen, “Time Irreversible Billiards with Piecewise-Straight Trajectories”, Phys. Rev. Lett, 109:17 (2012)  crossref
    459. A. A. Makarov, A. L. Malinovsky, E. A. Ryabov, “Intramolecular vibrational redistribution: from high-resolution spectra to real-time dynamics”, Phys. Usp., 55:10 (2012), 977–1007  mathnet  crossref  crossref  adsnasa  isi  elib  elib
    460. J. Armstrong, S. Åberg, S. Reimann, V. Zelevinsky, “Complexity of quantum states in the two-dimensional pairing model”, Phys. Rev. E, 86:6 (2012)  crossref
    461. Feres R., Zhang H.-K., “Spectral Gap for a Class of Random Billiards”, Commun. Math. Phys., 313:2 (2012), 479–515  crossref  isi
    462. Bekker V.F., “Dinamika mekhanicheskogo vzaimodeistviya elementov podvizhnoi sharovoi nasadki”, Nauchno-tekhnicheskii vestnik povolzhya, 2012, no. 2, 94–98  elib
    463. E.D.. Leonel, M.W.. Beims, L.A.. Bunimovich, “Introduction to Focus Issue: Statistical mechanics and billiard-type dynamical systems”, Chaos, 22:2 (2012), 026101  crossref
    464. R Markarian, M J Pacifico, J L Vieitez, “Exponential speed of mixing for skew-products with singularities”, Nonlinearity, 26:1 (2013), 269  crossref
    465. Rui Yang, Liang Huang, Ying-Cheng Lai, Celso Grebogi, Louis M. Pecora, “Harnessing quantum transport by transient chaos”, Chaos, 23:1 (2013), 013125  crossref
    466. Massimo Tessarotto, Claudio Cremaschini, Marco Tessarotto, “On the conditions of validity of the Boltzmann equation and Boltzmann H-theorem”, Eur. Phys. J. Plus, 128:3 (2013)  crossref
    467. D. M. Naplekov, A. V. Tur, V. V. Yanovsky, “Scattering by a boundary with complex structure”, Phys. Rev. E, 87:4 (2013)  crossref
    468. Lai-Sang Young, “Mathematical theory of Lyapunov exponents”, J. Phys. A: Math. Theor, 46:25 (2013), 254001  crossref
    469. Nándor Simányi, “Singularities and non-hyperbolic manifolds do not coincide”, Nonlinearity, 26:6 (2013), 1703  crossref
    470. G. Benettin, “Ergodicity and Time-Scales for Statistical Equilibrium in Classical Dynamical Systems”, Progress of Theoretical Physics Supplement, 116 (2013), 207  crossref
    471. Giacomo Gradenigo, Alessandro Sarracino, Andrea Puglisi, Hugo Touchette, “Fluctuation relations without uniform large deviations”, J. Phys. A: Math. Theor, 46:33 (2013), 335002  crossref
    472. S.C. Kapfer, Werner Krauth, “Sampling from a polytope and hard-disk Monte Carlo”, J. Phys.: Conf. Ser, 454 (2013), 012031  crossref
    473. Mikko Stenlund, Lai-Sang Young, Hongkun Zhang, “Dispersing Billiards with Moving Scatterers”, Commun. Math. Phys, 2013  crossref
    474. D.F..M. Oliveira, Thorsten Pöschel, “Competition between unlimited and limited energy growth in a two-dimensional time-dependent billiard”, Physics Letters A, 2013  crossref
    475. Sebastian Schröter, Paul-Antoine Hervieux, Giovanni Manfredi, Johannes Eiglsperger, Javier Madroñero, “Exact treatment of planar two-electron quantum dots: Effects of anharmonicity on the complexity”, Phys. Rev. B, 87:15 (2013)  crossref
    476. M.F.. Demers, Hong-Kun Zhang, “A Functional Analytic Approach to Perturbations of the Lorentz Gas”, Commun. Math. Phys, 2013  crossref
    477. Nikolai Chernov, Hong-Kun Zhang, Pengfei Zhang, “Electrical Current in Sinai Billiards Under General Small Forces”, J Stat Phys, 2013  crossref
    478. D. S. Grebenkov, B.-T. Nguyen, “Geometrical Structure of Laplacian Eigenfunctions”, SIAM Rev, 55:4 (2013), 601  crossref
    479. L. D. Pustylnikov, M. V. Deryabin, “Chërnye dyry i obobschënnye relyativistskie billiardy”, Preprinty IPM im. M. V. Keldysha, 2013, 054, 36 pp.  mathnet
    480. Jingyu Chen, Luke Mohr, Hong-Kun Zhang, Pengfei Zhang, “Ergodicity of the generalized lemon billiards”, Chaos, 23:4 (2013), 043137  crossref
    481. M. N. Davletshin, “HillТs formula for $g$-periodic trajectories of Lagrangian systems”, Trans. Moscow Math. Soc., 74 (2013), 65–96  mathnet  crossref  mathscinet  zmath  elib
    482. Young L.-S., “Understanding Chaotic Dynamical Systems”, Commun. Pure Appl. Math., 66:9 (2013), 1439–1463  crossref  isi
    483. Gianluigi Del Magno, Roberto Markarian, “Singular Sets of Planar Hyperbolic Billiards are Regular”, Regul. Chaotic Dyn., 18:4 (2013), 425–452  mathnet  crossref  mathscinet  zmath
    484. Wright P., “Estimates of Hausdorff Dimension for Non-Wandering Sets of Higher Dimensional Open Billiards”, Can. J. Math.-J. Can. Math., 65:6 (2013), 1384–1400  crossref  isi
    485. L. D. Pustyl'nikov, M. V. Deryabin, “Nonequilibrium gas, entropy and generalized billiards”, Preprinty IPM im. M. V. Keldysha, 2014, 003, 10 pp.  mathnet
    486. Elena Gryazina, Boris Polyak, “Random sampling: Billiard Walk algorithm”, European Journal of Operational Research, 2014  crossref
    487. D. S. Novikov, J. H. Jensen, J. A. Helpern, E. Fieremans, “Revealing mesoscopic structural universality with diffusion”, Proceedings of the National Academy of Sciences, 111:14 (2014), 5088  crossref
    488. Massimo Tessarotto, Claudio Cremaschini, “First-principle proof of the modified collision boundary conditions for the hard-sphere system”, Physics Letters A, 2014  crossref
    489. Demers M.F., Zhang H.-K., “Spectral Analysis of Hyperbolic Systems with Singularities”, Nonlinearity, 27:3 (2014), 379–433  crossref  isi
    490. E. J. Torres-Herrera, L.F.. Santos, “Local quenches with global effects in interacting quantum systems”, Phys. Rev. E, 89:6 (2014)  crossref
    491. Yurong Li, Jiong Sun, Siqin Yao, “A Class of Generalized Differential Operators with Infinitely Many Discontinuous Points”, Abstract and Applied Analysis, 2014 (2014), 1  crossref
    492. Françoise Pène, “Self-intersections of trajectories of the Lorentz process”, DCDS-A, 34:11 (2014), 4781  crossref
    493. Jorge Kurchan, “Large deviations, metastability and selection”, Physica A: Statistical Mechanics and its Applications, 2014  crossref
    494. A.J.onathan Vidgop, Itzhak Fouxon, “Emergence of distinguishability of patterns of collisions of particles in a non-equilibrium chaotic system”, Physica A: Statistical Mechanics and its Applications, 2014  crossref
    495. Germán Sierra, “The Riemann zeros as energy levels of a Dirac fermion in a potential built from the prime numbers in Rindler spacetime”, J. Phys. A: Math. Theor, 47:32 (2014), 325204  crossref
    496. Dmitry V. Turaev, Christopher Warner, Sergey Zelik, “Energy Growth for a Nonlinear Oscillator Coupled to a Monochromatic Wave”, Regul. Chaotic Dyn., 19:4 (2014), 513–522  mathnet  crossref  mathscinet  zmath
    497. Massimo Tessarotto, Claudio Cremaschini, “The Master kinetic equation for the statistical treatment of the Boltzmann-Sinai classical dynamical system”, Eur. Phys. J. Plus, 129:7 (2014)  crossref
    498. C.P.. Dettmann, “Diffusion in the Lorentz Gas”, Commun. Theor. Phys, 62:4 (2014), 521  crossref
    499. A.K.. Behera, A. N. Sekar Iyengar, P.K.. Panigrahi, “Non-stationary dynamics in the bouncing ball: A wavelet perspective”, Chaos, 24:4 (2014), 043107  crossref
    500. A. I. Bufetov, B. M. Gurevich, K. M. Khanin, F. Cellarosi, “The Abel Prize award to Ya. G. Sinai”, Russian Math. Surveys, 69:5 (2014), 931–956  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    501. Massimo Tessarotto, Claudio Cremaschini, “Modified BBGKY hierarchy for the hard-sphere system”, Eur. Phys. J. Plus, 129:11 (2014)  crossref
    502. Dettmann C.P., “Diffusion in the Lorentz Gas”, Commun. Theor. Phys., 62:4 (2014), 521–540  isi
    503. Massimo Tessarotto, Claudio Cremaschini, “Theory of collisional invariants for the Master kinetic equation”, Physics Letters A, 2015  crossref
    504. Massimo Tessarotto, Claudio Cremaschini, “Axiomatic foundations of entropic theorems for hard-sphere systems”, Eur. Phys. J. Plus, 130:5 (2015)  crossref
    505. L.A.. Bunimovich, L.V.. Vela-Arevalo, “Some new surprises in chaos”, Chaos, 25:9 (2015), 097614  crossref
    506. Kushal Shah, Vassili Gelfreich, Vered Rom-Kedar, Dmitry Turaev, “Leaky Fermi accelerators”, Phys. Rev. E, 91:6 (2015)  crossref
    507. B. Fačkovec, E. Vanden-Eijnden, D. J. Wales, “Markov state modeling and dynamical coarse-graining via discrete relaxation path sampling”, J. Chem. Phys, 143:4 (2015), 044119  crossref
    508. A. V. Artemyev, A. I. Neishtadt, “Violation of adiabaticity in magnetic billiards due to separatrix crossings”, Chaos, 25:8 (2015), 083109  crossref
    509. M.F.. Correia, Hong-Kun Zhang, “Stability and ergodicity of moon billiards”, Chaos, 25:8 (2015), 083110  crossref
    510. Dolgopyat D. Nandori P., “Nonequilibrium Density Profiles in Lorentz Tubes With Thermostated Boundaries”, 69, no. 4, 2016, 649–692  isi
    511. V. V. Kozlov, “Polynomial conservation laws for the Lorentz gas and the Boltzmann–Gibbs gas”, Russian Math. Surveys, 71:2 (2016), 253–290  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    512. S. V. Bolotin, “Degenerate billiards”, Proc. Steklov Inst. Math., 295 (2016), 45–62  mathnet  crossref  crossref  mathscinet  isi  elib
    513. A. P. Markeev, “On the stability of periodic trajectories of a planar Birkhoff billiard”, Proc. Steklov Inst. Math., 295 (2016), 190–201  mathnet  crossref  crossref  mathscinet  isi  elib
    514. Manjunath N. Samajdar R. Jain S.R., “A difference-equation formalism for the nodal domains of separable billiards”, Ann. Phys., 372 (2016), 68–73  crossref  mathscinet  isi  elib  scopus
    515. Jain S.R. Samajdar R., “Nodal Portraits of Quantum Billiards: Domains, Lines, and Statistics”, Rev. Mod. Phys., 89:4 (2017), 045005  crossref  isi
    516. Balint P. Nandori P. Szasz D. Toth I.P., “Equidistribution For Standard Pairs in Planar Dispersing Billiard Flows”, Ann. Henri Poincare, 19:4 (2018), 979–1042  crossref  isi
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