Mathematical physics, $p$-adic analysis, including mathematical problems in quantum field theory, string theory, gravity, quantum information, quantum optics.
Biography
Education:
1970, Moscow State University
1973, Graduated School of Steklov Mathematical Institute
1980, Kandidate of science (Ph.D.), Steklov Mathematical Institute
1990, Doctor of Science, Steklov Mathematical Institute
Academic appointments:
1990, present, leading researcher in Department of Mathematical Physics, Steklov Mathematical Institute, Russian Academy of Sciences.
1983–1991, Leading scientific researcher, Steklov Mathematical Institute.
1981–1983, Scientific researcher, Steklov Mathematical Institute
1973–1980 Scientific editor of Journal "Theoretical and Mathematical Physics",
2003, Corresponding member of Russian Academy of Sciences
Special honors and awards:
The prize of Mathematical Branch of Academy of Science of USSR, 1984.
"Infinite Dimensional Analisys, Quantum Probability and Related Topics", World Scientific
"International Journal of Geometric Methods in Modern Physics", World Scientific.
Main publications:
[1] V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, p-adic analysis and mathematical physics, World Scientific, River Edge, NJ, 1994, 319 pp.
[2] M. Ohya, I. Volovich, Mathematical foundations of quantum information and computation and its applications to nano- and bio-systems, Springer, Dordrecht, 2011, 759 pp.
[3] L. Accardi, Lu Yun Gang, I. Volovich, Quantum theory and its stochastic limit, Springer-Verlag, Berlin, 2002, 473 pp.
[4] I. V. Volovich, A. S. Trushechkin, “Asymptotic properties of quantum dynamics in bounded domains at various time scales”, Izv. RAN. Ser. Mat., 76:1 (2012), 43–84.
[5] I. V. Volovich, “p-adic string”, Classical Quantum Gravity, 4:4 (1987), L83–L87.
I. Ya. Arefeva, I. V. Volovich, “Zamechanie o modeli Sachdeva–Ie–Kitaeva v realnom vremeni”, TMF, 197:2 (2018), 296-310 (to appear)
2.
Irina Aref'eva, Igor Volovich, Notes on the SYK model in real time, 2018 , 18 pp., arXiv: 1801.08118
3.
I. V. Volovich, V. Zh. Sakbaev, “On Quantum Dynamics on $C^*$-Algebras”, Proc. Steklov Inst. Math., 301 (2018), 25–38
4.
S.V. Kozyrev, I.V. Volovich, “Dark states in quantum photosynthesis”, Trends in Biomathematics: Modeling, Optimization and Computational Problems, Proceedings of BIOMAT 2017 Conference (Institut vychislitelnoi matematiki RAN, Moskva, 30 oktyabrya –3 noyabrya 2017 g), eds. R.P. Mondaini, Springer, Berlin 1603.07182, 2018
5.
I. Ya. Aref'eva, I. V. Volovich, O. V. Inozemtsev, TMF (to appear)
2017
6.
S. V. Kozyrev, A. A. Mironov, A. E. Teretenkov, I. V. Volovich, “Flows in nonequilibrium quantum systems and quantum photosynthesis”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 20:4 (2017), 1750021 , 19 pp. (cited: 2) (cited: 3) (cited: 3)
7.
I. Ya. Aref'eva, I. V. Volovich, O. V. Inozemcev, “Holographic control of information and dynamical topology change for composite open quantum systems”, Theoret. and Math. Phys., 193:3 (2017), 1834–1843
8.
I. Ya. Aref'eva, G. S. Djordjevic, A. Yu. Khrennikov, S. V. Kozyrev, Z. Rakic, I. V. Volovich, “p-Adic mathematical physics and B. Dragovich research”, P-Adic Numbers Ultrametric Anal. Appl., 9:1 (2017), 82–85 (cited: 1) (cited: 1)
9.
B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev, I. V. Volovich, E. I. Zelenov, “p-Adic Mathematical Physics: The First 30 Years”, P-Adic Numbers Ultrametric Anal. Appl., 9:2 (2017), 87–121 , arXiv: 1705.04758 (cited: 6) (cited: 9)
10.
V. Zh. Sakbaev, I. V. Volovich, “Self-adjoint approximations of the degenerate Schrödinger operator”, P-Adic Numbers Ultrametric Anal. Appl., 9:1 (2017), 39–52 , arXiv: 1701.02777 (cited: 2) (cited: 2)
2016
11.
Igor V. Volovich, “Cauchy–Schwarz inequality-based criteria for the non-classicality of sub-Poisson and antibunched light”, Phys. Lett. A, 380:1 (2016), 56–58 (cited: 2) (cited: 10) (cited: 2)
12.
A. S. Trushechkin, I. V. Volovich, “Perturbative treatment of inter-site couplings in the local description of open quantum networks”, EPL, 113:3 (2016), 30005 , 6 pp., arXiv: 1509.05754 (cited: 5) (cited: 26) (cited: 25)
I. V. Volovich, S. V. Kozyrev, “Manipulation of states of a degenerate quantum system”, Proc. Steklov Inst. Math., 294 (2016), 241–251 (cited: 12) (cited: 7)
15.
I. V. Volovich, “Group theory, probability, the structure of spacetime and V. S. Varadarajan”, P-Adic Numbers Ultrametric Anal. Appl., 8:1 (2016), 1
2015
16.
I. V. Volovich, “Functional stochastic classical mechanics”, P-Adic Numbers Ultrametric Anal. Appl., 7:1 (2015), 56–70 (cited: 1) (cited: 3)
17.
I. Ya. Aref'eva, I. V. Volovich, S. V. Kozyrev, “Stochastic limit method and interference in quantum many-particle systems”, Theoret. and Math. Phys., 183:3 (2015), 782–799 (cited: 9) (cited: 1) (cited: 1) (cited: 5)
18.
L. Accardi, I. Ya. Aref'eva, I. V. Volovich, “Fermionic Meixner classes, Lie algebras and quadratic hamiltonians”, Indian J. Pure Appl. Math., 46:4 (2015), 517–538 , arXiv: 1411.4607 (cited: 1) (cited: 1)
19.
S. Iriyama, M. Ohya, I. V. Volovich, “On quantum algorithm for binary search and its computational complexity”, Open Syst. Inf. Dyn., 22:3 (2015), 1550019 , 9 pp. (cited: 5) (cited: 3)
2014
20.
S. V. Kozyrev, I. V. Volovich, “Quinary lattice model of secondary structures of polymers”, Phys. A, 393 (2014), 86–95 , arXiv: 1206.4424 (cited: 1) (cited: 1)
21.
A. Khrennikov, B. Nilsson, S. Nordebo, I. Volovich, “Photon flux and distance from the source: consequences for quantum communication”, Found. Phys., 44:4 (2014), 389–405 , arXiv: 1309.5492 (cited: 3) (cited: 2) (cited: 4)
22.
I. V. Volovich, V. Zh. Sakbaev, “Universal boundary value problem for equations of mathematical physics”, Proc. Steklov Inst. Math., 285 (2014), 56–80 (cited: 3) (cited: 2) (cited: 2) (cited: 4)
23.
I. Ya. Aref'eva, I. V. Volovich, “On a model of quantum field theory”, Proc. Steklov Inst. Math., 285 (2014), 30–33
24.
Izbrannye voprosy matematicheskoi fiziki i analiza, Sbornik statei. K 90-letiyu so dnya rozhdeniya akademika Vasiliya Sergeevicha Vladimirova, Tr. MIAN, 285, ed. I. V. Volovich, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2014 , 287 pp.
25.
I. V. Volovich, V. P. Radchenko (red.), Matematicheskaya fizika i ee prilozheniya, Chetvertaya mezhdunarodnaya konferentsiya «Matematicheskaya fizika i ee prilozheniya» (Samara, 25 avgusta – 01 sentyabrya 2014 g.), Samarskii gosudarstvennyi tekhnicheskii universitet, Samara, 2014 , 386 pp.
2013
26.
I. Ya. Aref'eva, I. V. Volovich, “Holographic thermalization”, Theoret. and Math. Phys., 174:2 (2013), 186–196 (cited: 7) (cited: 4) (cited: 4) (cited: 5)
27.
K. Mayuzumi, N. Watanabe, I. V. Volovich, “On construction of quantum logical gate based on ESR”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(30) (2013), 297–304
28.
I. Ya. Aref'eva, E. V. Piskovskiy, I. V. Volovich, “Oscillations and rolling for Duffing's equation”, Quantum Bio-Informatics V, 5th International Conference of Quantum Bio-Informatics (QBIC) (March 07–14, 2011), QP-PQ: Quantum Probability and White Noise Analysis, 30, eds. L. Accardi, W. Freudenberg, M. Ohya, Tokyo Univ Sci., Quantum Bio Informat Ctr., Tokyo, Japan, 2013, 37–48
29.
I. V. Volovich, V. A. Il'in, V. V. Kozlov, A. A. Logunov, G. I. Marchuk, V. A. Matveev, Yu. S. Osipov, B. E. Paton, V. A. Sadovnichii, “Vasilii Sergeevich Vladimirov (obituary)”, Russian Math. Surveys, 68:1 (2013), 175–182
30.
I. V. Volovich, V. P. Radchenko, “Preface”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(30) (2013), 10–14
2012
31.
I. V. Volovich, A. S. Trushechkin, “Asymptotic properties of quantum dynamics in bounded domains at various time scales”, Izv. Math., 76:1 (2012), 39–78 (cited: 2) (cited: 1)
32.
I. Ya. Aref'eva, I. V. Volovich, E. V. Piskovskiy, “Rolling in the Higgs model and elliptic functions”, Theoret. and Math. Phys., 172:1 (2012), 1001–1016 (cited: 4) (cited: 2) (cited: 2) (cited: 2)
33.
I. Ya. Aref'eva, I. V. Volovich, “Asymptotic expansion of solutions in a rolling problem”, Proc. Steklov Inst. Math., 277 (2012), 1–15
34.
S. V. Kozyrev, I. V. Volovich, Quinary lattice model of secondary structures of proteins, 2012 , arXiv: 1206.4424
35.
A. Khrennikov, B. Nilsson, S. Nordebo, I. V. Volovich, “Distance Dependence of Entangled Photons in Waveguides”, Foundations of Probability and Physics - 6, AIP Conf. Proc., 1424, American Institute of Physics, 2012, 262-269 (cited: 5) (cited: 7)
36.
A. Khrennikov, B. Nilsson, S. Nordebo, I. V. Volovich, “Quantization of propagating modes in optical fibres”, Physica Scripta, 85:6 (2012), 065404 , 7 pp. (cited: 4) (cited: 7)
37.
I. V. Volovich, “In Memory of Vasilii S. Vladimorov”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 4(29) (2012), 8–16
2011
38.
I. Ya. Aref'eva, I. V. Volovich, “On nonlocal cosmological equations on half-line”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 16–27
39.
I. V. Volovich, “Randomness in classical mechanics and quantum mechanics”, Found. Phys., 41:3 (2011), 516–528 (cited: 4) (cited: 13) (cited: 13) (cited: 12)
40.
S. V. Kozyrev, I. V. Volovich, “The Arrhenius formula in kinetic theory and Witten's spectral asymptotics”, J. Phys. A, 44:21 (2011), 215202 , 10 pp. (cited: 1) (cited: 3)
41.
M. Ohya, I. Volovich, Mathematical foundations of quantum information and computation and its applications to nano- and bio-systems, Theoret. Math. Phys., Springer, Dordrecht, 2011 , xx+759 pp. (cited: 5) (cited: 11)
I. Ya. Aref'eva, I. V. Volovich, Superluminal dark neutrinos, 2011 , arXiv: 1110.0456
44.
I. V. Volovich, Photon Antibunching, Sub-Poisson Statistics and Cauchy-Bunyakovsky and Bell's Inequalities, 2011 , 5 pp., arXiv: 1106.1892
45.
E. V. Piskovskiy, I. V. Volovich, “On the correspondence between newtonian and functional mechanics”, Quantum bio-informatics IV: From quantum information to bio-informatics, QP-PQ Quantum Probability and White Noise Analysis, 28, eds. L. Accardi; W. Freudenberg; M. Ohya, 2011, 363–372 (cited: 5)
46.
I. V. Volovich, “Preface”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 5–8
47.
I. V. Volovich, “Preface”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2(23) (2011), 131–134
2010
48.
I. V. Volovich, “Bogoliubov equations and functional mechanics”, Theoret. and Math. Phys., 164:3 (2010), 1128–1135 (cited: 15) (cited: 7) (cited: 7) (cited: 9)
49.
I. V. Volovich, “Number theory as the ultimate physical theory”, P-Adic Numbers Ultrametric Anal. Appl., 2:1 (2010), 77–87 (cited: 21)
50.
I. V. Volovich, “Functional mechanics and time irreversibility problem”, Quantum bio-informatics III, QP–PQ: Quantum Probab. White Noise Anal., 26, World Sci. Publ., Hackensack, NJ, 2010, 393–404 (cited: 2)
2009
51.
T. Ishiwatari, A. Khrennikov, B. Nilsson, I. V. Volovich, “Quantum field theory and distance effects for polarization correlations in waveguides”, Mathematical Modeling of Wave Phenomena, AIP Conf. Proc., 1106, Amer. Inst. Phys., Melville, NY, 2009, 276–285 (cited: 7) (cited: 8)
52.
I. V. Volovich, O. V. Groshev, N. A. Gusev, E. A. Kuryanovich, “On Solutions to the Wave Equation on a Non-globally Hyperbolic Manifold”, Proc. Steklov Inst. Math., 265 (2009), 262–275 (cited: 3) (cited: 1) (cited: 1) (cited: 2)
53.
I. V. Volovich, “Time in physics and life science”, Quantum bio-informatics II. From quantum information to bio-informatics, Quantum Probability and White Noise Analysis, 24, World Scientific, 2009, 205–216
54.
I. V. Volovich, S. V. Kozyrev, $p$-Adicheskaya matematicheskaya fizika: osnovnye konstruktsii, primeneniya k slozhnym i nanoskopicheskim sistemam, Matematicheskaya fizika i eë prilozheniya. Vvodnye kursy. Vypusk 1, Samarskii gos. un-t, Samara, 2009 http://www.mi.ras.ru/noc/irreversibility/p-adicMF1.pdf
55.
B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev, I. V. Volovich, “On $p$-adic mathematical physics”, P-Adic Numbers, Ultrametric Analysis, and Applications, 1:1 (2009), 1–17 (cited: 25)
56.
A. S. Trushechkin, I. V. Volovich, “Functional classical mechanics and rational numbers”, P-Adic Numbers, Ultrametric Analysis, and Applications, 1:4 (2009), 361–367 (cited: 3)
57.
K. Inoue, M. Ohya, I. V. Volovich, “On a combined quantum Baker's map and its characterization by entropic chaos degree”, Open Syst. Inf. Dyn., 16:2-3 (2009), 179–193 (cited: 1) (cited: 3)
58.
I. V. Volovich, A. S. Trushechkin, “Squeezed Quantum States on an Interval and Uncertainty Relations for Nanoscale Systems”, Proc. Steklov Inst. Math., 265 (2009), 276–306 (cited: 4) (cited: 2) (cited: 2) (cited: 3)
59.
V. S. Vladimirov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zav'yalov, V. A. Il'in, G. I. Marchuk, V. P. Mikhailov, E. I. Moiseev, S. M. Nikol'skii, B. V. Pal'tsev, “Aleksei Alekseevich Dezin (obituary)”, Russian Math. Surveys, 64:3 (2009), 553–560
60.
V. I. Bogachev, V. S. Vladimirov, I. V. Volovich, B. S. Kashin, A. I. Kirillov, V. V. Kozlov, V. P. Maslov, V. A. Sadovnichii, A. M. Stepin, V. M. Tikhomirov, A. V. Uglanov, A. Yu. Khrennikov, A. M. Chebotarev, E. T. Shavgulidze, “Oleg Georgievich Smolyanov (on his 70th birthday)”, Russian Math. Surveys, 64:1 (2009), 183–185
61.
V. S. Vladimirov, I. V. Volovich (red.-sost.), Vospominaniya o N. N. Bogolyubove (k 100-letiyu so dnya rozhdeniya), MIAN, M., 2009 , 178 pp. http://www.mi.ras.ru/books/pdf/bogoliub.pdf
62.
Izbrannye voprosy matematicheskoi fiziki i $p$-adicheskogo analiza, Sbornik statei, Tr. MIAN, 265, ed. I. V. Volovich, E. F. Mischenko, MAIK «Nauka/Interperiodika», M., 2009 , 320 pp.
2008
63.
I. Ya. Aref'eva, I. V. Volovich, “Time machine at the LHC”, Int. J. Geom. Methods Mod. Phys., 5:4 (2008), 641–651 (cited: 1) (cited: 15) (cited: 17) (cited: 14)
64.
I. Ya. Aref'eva, I. V. Volovich, T. Ishiwatari, “Cauchy problem on non-globally hyperbolic space-times”, Theoret. and Math. Phys., 157:3 (2008), 1646–1654 (cited: 4) (cited: 3) (cited: 3) (cited: 4)
65.
I. Ya. Aref'eva, I. V. Volovich, “The null energy condition and cosmology”, Theoret. and Math. Phys., 155:1 (2008), 503–511 (cited: 28) (cited: 27) (cited: 27) (cited: 35)
2007
66.
I. Ya. Aref'eva, I. V. Volovich, “Quantization of the Riemann zeta-function and cosmology”, Int. J. Geom. Methods Mod. Phys., 4:5 (2007), 881–895 (cited: 3) (cited: 31) (cited: 32) (cited: 34)
67.
A. Borowiec, M. Francaviglia, I. Volovich, “Topology change and signature change in non-linear first-order gravity”, Int. J. Geom. Methods Mod. Phys., 4:4 (2007), 647–667 (cited: 1) (cited: 5) (cited: 5) (cited: 5)
2006
68.
I. V. Volovich, V. V. Kozlov, “Square integrable solutions to the Klein-Gordon equation on a manifold”, Dokl. Math., 73:3 (2006), 441–444 (cited: 4) (cited: 4) (cited: 4) (cited: 3)
69.
V. V. Kozlov, I. V. Volovich, “Finite action Klein-Gordon solutions on Lorentzian manifolds”, Int. J. Geom. Methods Mod. Phys., 3:7 (2006), 1349–1357 (cited: 7) (cited: 10) (cited: 13) (cited: 12)
70.
A. S. Trushechkin, I. V. Volovich, “On quantum cryptography and number theory”, $p$-adic mathematical physics, AIP Conf. Proc., 826, Amer. Inst. Phys., Melville, NY, 2006, 345–354
71.
J. Q. Trelewicz, I. V. Volovich, “Analysis of business connections utilizing theory of topology of random graphs”, $p$-adic mathematical physics, AIP Conf. Proc., 826, Amer. Inst. Phys., Melville, NY, 2006, 330–344 (cited: 2)
72.
I. V. Volovich, “Quantum information and spacetime structure”, Quantum information V, World Sci. Publ., Hackensack, NJ, 2006, 19–34
2005
73.
V. I. Agoshkov, V. S. Vladimirov, I. V. Volovich, V. P. Dymnikov, V. P. Shutyaev, “Metod sopryazhennykh uravnenii i analiz slozhnykh sistem”, Sovremennye problemy vychislitelnoi matematiki i matematicheskogo modelirovaniya, v. 1, Vychislitelnaya matematika, Nauka, M., 2005, 257–342
74.
I. V. Volovich, A. S. Trushechkin, “On a model of the quantum key distribution”, Dokl. Math., 72:2 (2005), 795–797
75.
L. Accardi, R. A. Roschin, I. V. Volovich, “Stochastic golden rule for a system interacting with a Fermi field”, Quantum probability and infinite dimensional analysis, QP–PQ: Quantum Probab. White Noise Anal., 18, World Sci. Publ., Hackensack, NJ, 2005, 28–41
76.
I. V. Volovich, “Steklov Institute seminar on mathematics and its applications”, Russian Math. Surveys, 60:1 (2005), 193–195
2004
77.
A. A. Baranov, A. N. Pechen, I. V. Volovich, “Spatial dependence of entangled states and some EPR experiments”, Quantum theory: reconsideration of foundations—2, Math. Model. Phys. Eng. Cogn. Sci., 10, Växjö Univ. Press, Växjö, 2004, 83–91
78.
I. V. Volovich, D. V. Prokhorenko, “Renormalization in Quantum Electrodynamics and Hopf Algebras”, Proc. Steklov Inst. Math., 245 (2004), 273–280
79.
I. V. Volovich, M. N. Khokhlova, “Modeling Theory and Hypergraph of Classes”, Proc. Steklov Inst. Math., 245 (2004), 266–272
80.
V. S. Vladimirov, I. V. Volovich, “$p$-Adic Mathematical Physics”, Proc. Steklov Inst. Math., 245 (2004), 1–2
81.
I. V. Volovich, “Some Properties of Dynamical Equations in $p$-Adic String and SFT Models”, Proc. Steklov Inst. Math., 245 (2004), 281–288
82.
I. V. Volovich, “Steklov Institute seminar on mathematics and its applications”, Russian Math. Surveys, 59:2 (2004), 399–401
83.
Izbrannye voprosy $p$-adicheskoi matematicheskoi fiziki i analiza, Sbornik statei. K 80-letiyu so dnya rozhdeniya akademika Vasiliya Sergeevicha Vladimirova, Tr. MIAN, 245, ed. I. V. Volovich, E. F. Mischenko, Nauka, MAIK «Nauka/Interperiodika», M., 2004 , 303 pp.
2003
84.
I. V. Volovich, “Seven principles of quantum mechanics”, Foundations of probability and physics, 2 (Växjö, 2002), Math. Model. Phys. Eng. Cogn. Sci., 5, Växjö Univ. Press, Växjö, 2003, 569–575 (cited: 1)
85.
R. A. Roschin, I. V. Volovich, “Relativistic corrections to spin correlators and Bell's theorem”, Foundations of probability and physics, 2 (Växjö, 2002), Math. Model. Phys. Eng. Cogn. Sci., 5, Växjö Univ. Press, Växjö, 2003, 533–544
86.
A. Khrennikov, I. Volovich, “Local realism, contextualism and loopholes in Bell's experiments”, Foundations of probability and physics, 2 (Växjö, 2002), Math. Model. Phys. Eng. Cogn. Sci., 5, Växjö Univ. Press, Växjö, 2003, 325–343
87.
Ohya Masanori, I. V. Volovich, “Quantum computing and the chaotic amplifier”, J. Opt. B Quantum Semiclass. Opt., 5:6, Special issue on quantum computing and the Feynman Festival (College Park, MD, 2002) (2003), S639–S642 (cited: 2) (cited: 15) (cited: 21)
88.
L. Accardi, A. N. Pechen, I. V. Volovich, “A stochastic golden rule and quantum Langevin equation for the low density limit”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 6:3 (2003), 431–453 (cited: 3) (cited: 13) (cited: 7) (cited: 10)
89.
Inoue Kei, Ohya Masanori, I. V. Volovich, “On quantum-classical correspondence and chaos degree for baker's map”, Fundamental aspects of quantum physics (Tokyo, 2001), QP–PQ: Quantum Probab. White Noise Anal., 17, World Sci. Publ., River Edge, NJ, 2003, 177–187
90.
Ohya Masanori, I. V. Volovich, “New quantum algorithm for studying NP-complete problems”, Rep. Math. Phys., 52:1 (2003), 25–33 (cited: 1) (cited: 33) (cited: 26) (cited: 30)
91.
Ohya Masanori, I. V. Volovich, “On quantum capacity and its bound”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 6:2 (2003), 301–310 (cited: 1) (cited: 9) (cited: 9) (cited: 10)
92.
Inoue Kei, Ohya Masanori, I. V. Volovich, “On quantum baker's map with noise”, Information, 6:1, Special issue on industrial and applied mathematics (Okayama, 2002) (2003), 83–98
93.
V. S. Vladimirov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. A. Il'in, G. I. Marchuk, V. P. Mikhailov, E. I. Moiseev, S. M. Nikol'skii, B. V. Pal'tsev, “Aleksei Alekseevich Dezin (on his 80th birthday)”, Russian Math. Surveys, 58:6 (2003), 1237–1240
94.
A. A. Bolibrukh, A. A. Gonchar, I. V. Volovich, V. G. Kadyshevskii, A. A. Logunov, G. I. Marchuk, E. F. Mishchenko, S. M. Nikol'skii, S. P. Novikov, Yu. S. Osipov, L. D. Faddeev, D. V. Shirkov, “Vasilii Sergeevich Vladimirov (on his 80th birthday)”, Russian Math. Surveys, 58:1 (2003), 199–209
95.
I. V. Volovich, “Steklov Institute seminar on mathematics and its applications”, Russian Math. Surveys, 58:4 (2003), 821–823
2002
96.
Inoue Kei, Ohya Masanori, I. V. Volovich, “On the correspondence between quantum and classical pi-connected-transformations”, Analytical study of quantum information and related fields (Japanese) (Kyoto, 2001), Sūrikaisekikenkyūsho Kōkyūroku, no. 1266, 2002, 125–132
97.
A. N. Pechen, I. V. Volovich, “Quantum multipole noise and generalized quantum stochastic equations”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 5:4 (2002), 441–464 (cited: 1) (cited: 9) (cited: 4) (cited: 8)
98.
I. V. Volovich, “Quantum information in space and time and theory of stochastic processes”, Quantum information, IV (Nagoya, 2001), World Sci. Publ., River Edge, NJ, 2002, 187–200
99.
Inoue Kei, Ohya Masanori, I. V. Volovich, “A treatment of quantum baker's map by chaos degree”, Quantum information, IV (Nagoya, 2001), World Sci. Publ., River Edge, NJ, 2002, 87–102
100.
L. Accardi, Lu Yun Gang, I. Volovich, Quantum theory and its stochastic limit, Springer-Verlag, Berlin, 2002 , xx+473 pp. (cited: 72)
101.
L. Accardi, A. N. Pechen, I. V. Volovich, “Quantum stochastic equation for the low density limit”, J. Phys. A, 35:23 (2002), 4889–4902 (cited: 5) (cited: 8) (cited: 6) (cited: 7)
102.
G. S. Djordjević, B. Dragovich, L. D. Nešić, I. V. Volovich, “$p$-adic and adelic minisuperspace quantum cosmology”, Internat. J. Modern Phys. A, 17:10 (2002), 1413–1433 (cited: 23) (cited: 22)
103.
Inoue Kei, Ohya Masanori, I. V. Volovich, “Semiclassical properties and chaos degree for the quantum baker's map”, J. Math. Phys., 43:2 (2002), 734–755 (cited: 2) (cited: 13) (cited: 15) (cited: 18)
104.
I. V. Volovich, “Steklov Institute seminar on mathematics and its applications”, Russian Math. Surveys, 57:3 (2002), 637–640
2001
105.
I. Volovich, “Quantum cryptography in space and Bell's theorem”, Foundations of probability and physics, QP–PQ: Quantum Probab. White Noise Anal., 13, World Sci. Publ., River Edge, NJ, 2001, 364–372
106.
I. Ya. Aref'eva, M. G. Ivanov, W. Mück, K. S. Viswanathan, I. V. Volovich, “Linearized gravity on thick branes”, Quantization, gauge theory, and strings (Moscow, 2000), v. I, Sci. World, Moscow, 2001, 271–279
107.
B. Dragovich, I. V. Volovich, “$p$-adic strings and noncommutativity”, Noncommutative structures in mathematics and physics (Kiev, 2000), NATO Sci. Ser. II Math. Phys. Chem., 22, Kluwer Acad. Publ., Dordrecht, 2001, 391–399 (cited: 1)
108.
Ohya Masanori, I. V. Volovich, Watanabe Noboru, “Quantum logical gate based on electron spin resonance”, Quantum information, III (Nagoya, 2000), World Sci. Publ., River Edge, NJ, 2001, 143–156
109.
Ohya Masanori, I. V. Volovich, Watanabe Noboru, “On quantum logical gate based on ESR”, Analytical study of quantum information and related fields (Japanese) (Kyoto, 2000), Sūrikaisekikenkyūsho Kōkyūroku, no. 1196, 2001, 1–11
110.
R. Léandre, I. A. Volovich, “The stochastic Lévy Laplacian and Yang-Mills equation on manifolds”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 4:2 (2001), 161–172 (cited: 9) (cited: 10) (cited: 15)
2000
111.
L. Accardi, I. Ya. Aref'eva, I. V. Volovich, “Stochastic limit and interacting commutation relations”, Mathematical physics and stochastic analysis (Lisbon, 1998), World Sci. Publ., River Edge, NJ, 2000, 18–36
112.
I. Ya. Aref'eva, I. V. Volovich, “Noncommutative gauge fields on Poisson manifolds”, New symmetries and integrable models (Karpacz, 1999), World Sci. Publ., River Edge, NJ, 2000, 8–17
113.
Ohya Masanori, I. V. Volovich, “NP-complete problems with chaotic dynamics”, Quantum information, II (Nagoya, 1999), World Sci. Publ., River Edge, NJ, 2000, 161–171 (cited: 2)
114.
L. Accardi, Lu Yun Gang, I. V. Volovich, “A white-noise approach to stochastic calculus”, Recent developments in infinite-dimensional analysis and quantum probability, Acta Appl. Math., 63, no. 1-3, 2000, 3–25 (cited: 34) (cited: 8) (cited: 6) (cited: 8)
115.
I. Ya. Aref'eva, I. V. Volovich, “On the large time behavior of quantum systems”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 3:4 (2000), 453–482 (cited: 1) (cited: 3) (cited: 2) (cited: 2)
116.
I. Ya. Aref'eva, I. V. Volovich, “The large time behaviour in quantum field theory and quantum chaos”, Stochastic processes, physics and geometry: new interplays, II (Leipzig, 1999), CMS Conf. Proc., 29, Amer. Math. Soc., Providence, RI, 2000, 15–27 (cited: 4)
117.
I. Ya. Aref'eva, M. G. Ivanov, W. Mück, K. S. Viswanathan, I. V. Volovich, “Consistent linearized gravity in brane backgrounds”, Nuclear Phys. B, 590:1-2 (2000), 273–286 (cited: 3) (cited: 49) (cited: 49) (cited: 49)
118.
W. Mück, K. S. Viswanathan, I. Volovich, “Geodesics and Newton's law in brane backgrounds”, Phys. Rev. D (3), 62:10 (2000), 105019 , 7 pp. (cited: 2) (cited: 40)
119.
A. Borowiec, M. Francaviglia, I. Volovich, “Anti-Kählerian manifolds”, Differential Geom. Appl., 12:3 (2000), 281–289 (cited: 19) (cited: 29) (cited: 35)
120.
L. Accardi, I. Ya. Aref'eva, I. V. Volovich, “Non-equilibrium Quantum Field Theory and Entangled Commutation Relations”, Proc. Steklov Inst. Math., 228 (2000), 106–125
1999
121.
M. Grothaus, L. Streit, I. V. Volovich, “Knots, Feynman diagrams and Matrix models”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 2:3 (1999), 359–380 (cited: 1) (cited: 6) (cited: 3) (cited: 1)
122.
L. Accardi, I. V. Volovich, “Quantum white noise with singular non-linear interaction”, Development of infinite-dimensional non-commutative analysis (Kyoto, 1998), Sūrikaisekikenkyūsho Kōkyūroku, no. 1099, 1999, 61–69 (cited: 8)
123.
I. V. Volovich, “Models of quantum computers and decoherence problem”, Quantum information (Nagoya, 1997), World Sci. Publ., River Edge, NJ, 1999, 211–224 (cited: 1)
124.
I. Ya. Aref'eva, P. B. Medvedev, O. A. Rytchkov, I. V. Volovich, “Chaos in M(atrix) theory”, Superstrings, M, F, S… theory, Chaos Solitons Fractals, 10, no. 2-3, 1999, 213–223 (cited: 2) (cited: 18) (cited: 11)
125.
L. Accardi, S. V. Kozyrev, I. V. Volovich, “Non-exponential decay for polaron model”, Phys. Lett. A, 260:1-2 (1999), 31–38 (cited: 3) (cited: 8) (cited: 7) (cited: 8)
126.
A. Borowiec, M. Ferraris, M. Francaviglia, I. Volovich, “Almost-complex and almost-product Einstein manifolds from a variational principle”, J. Math. Phys., 40:7 (1999), 3446–3464 (cited: 14) (cited: 25) (cited: 25) (cited: 30)
127.
L. Accardi, S. V. Kozyrev, I. V. Volovich, “Dynamical $q$-deformation in quantum theory and the stochastic limit”, J. Phys. A, 32:19 (1999), 3485–3495 (cited: 2) (cited: 7) (cited: 4) (cited: 6)
128.
M. O. Katanaev, I. V. Volovich, “Scattering on dislocations and cosmic strings in the geometric theory of defects”, Ann. Physics, 271:2 (1999), 203–232 (cited: 1) (cited: 30) (cited: 28) (cited: 34)
1998
129.
Accardi L., I. V. Volovich, “Feynman functional integrals and the stochastic limit”, Stochastic analysis and mathematical physics (Viña del Mar, 1996), World Sci. Publ., River Edge, NJ, 1998, 1–11
130.
I. V. Volovich, “Planckian energy scattering of D-branes and M(atrix) theory in curved space”, Supersymmetry and quantum field theory (Kharkov, 1997), Lecture Notes in Phys., 509, Springer, Berlin, 1998, 116–120
131.
I. Ya. Aref'eva, M. G. Ivanov, O. A. Rytchkov, I. V. Volovich, “Non-extremal localized branes and vacuum solutions in M-theory”, Classical Quantum Gravity, 15:10 (1998), 2923–2936 (cited: 12) (cited: 12)
132.
L. Accardi, S. V. Kozyrev, I. V. Volovich, “The hot free algebra”, Recent trends in infinite-dimensional noncommutative analysis (Japanese) (Kyoto, 1997), Sūrikaisekikenkyūsho Kōkyūroku, no. 1035, 1998, 1–18
133.
I. Ya. Aref'eva, P. B. Medvedev, O. A. Rytchkov, I. V. Volovich, “Chaos in D0 brane dynamics”, Quantum probability (Gdańsk, 1997), Banach Center Publ., 43, Polish Acad. Sci., Warsaw, 1998, 41–51
134.
I. Ya. Aref'eva, I. V. Volovich, “Breaking of conformal symmetry in the AdS/CFT correspondence”, Phys. Lett. B, 433:1-2 (1998), 49–55 (cited: 3) (cited: 19) (cited: 18) (cited: 17)
135.
L. Accardi, Lu Yun-Gang, I. Volovich, “Non-linear extensions of classical and quantum stochastic calculus and essentially infinite-dimensional analysis”, Probability towards 2000 (New York, 1995), Lecture Notes in Statist., 128, Springer, New York, 1998, 1–33 (cited: 14)
136.
I. Ya. Aref'eva, I. V. Volovich, “Knots and matrix models”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 1:1 (1998), 167–173 (cited: 1) (cited: 1) (cited: 1)
137.
A. Borowiec, M. Ferraris, M. Francaviglia, I. Volovich, “Universality of the Einstein equations for Ricci squared Lagrangians”, Classical Quantum Gravity, 15:1 (1998), 43–55 (cited: 6) (cited: 49) (cited: 42) (cited: 49)
138.
L. Accardi, I. V. Volovich, S. V. Kozyrev, “A new algebra in the stochastic approximation for the model of a particle interacting with a quantum field”, Theoret. and Math. Phys., 116:3 (1998), 1050–1062 (cited: 1) (cited: 1) (cited: 1)
1997
139.
I. V. Volovich, “D-branes, black holes and $SU(\infty)$ gauge theory”, Proceedings of the Second International A. D. Sakharov Conference on Physics (Moscow, 1996), World Sci. Publ., River Edge, NJ, 1997, 618–621
140.
M. Ferraris, M. Francaviglia, I. Volovich, “A model of affine gravity in two dimensions and plurality of topology”, Internat. J. Modern Phys. A, 12:28 (1997), 5067–5080 (cited: 1) (cited: 4) (cited: 4) (cited: 4)
141.
I. Ya. Aref'eva, K. S. Viswanathan, A. I. Volovich, I. V. Volovich, “Composite $p$-branes in various dimensions”, Theory of elementary particles (Buckow, 1996), Nuclear Phys. B Proc. Suppl., 56B, 1997, 52–60 (cited: 9)
142.
I. Ya. Aref'eva, M. G. Ivanov, I. V. Volovich, “Non-extremal intersecting $p$-branes in various dimensions”, Phys. Lett. B, 406:1-2 (1997), 44–48 (cited: 6) (cited: 38) (cited: 35) (cited: 31)
143.
I. Ya. Aref'eva, K. S. Viswanathan, I. V. Volovich, “$p$-brane solutions in diverse dimensions”, Phys. Rev. D (3), 55:8 (1997), 4748–4755 (cited: 7) (cited: 9) (cited: 8)
144.
A. Kh. Bikulov, I. V. Volovich, “$p$-adic Brownian motion”, Izv. Math., 61:3 (1997), 537–552 (cited: 12) (cited: 8) (cited: 12)
1996
145.
I. Ya. Aref'eva, I. V. Volovich, K. S. Viswanathan, “On black hole creation in Planckian energy scattering”, The Sixth Moscow Quantum Gravity Seminar (1995), Internat. J. Modern Phys. D, 5, no. 6, 1996, 707–721 (cited: 6) (cited: 4) (cited: 4)
146.
I. Ya. Aref'eva, I. V. Volovich, “The master field for QCD and $q$-deformed quantum field theory”, Nuclear Phys. B, 462:2-3 (1996), 600–612 (cited: 21) (cited: 18) (cited: 19)
147.
I. Ya. Aref'eva, K. S. Viswanathan, I. V. Volovich, “Erratum: “Planckian-energy scattering, colliding plane gravitational waves and black hole creation” [Nuclear Phys. B 452 (1995), no. 1-2, 346–366]”, Nuclear Phys. B, 462:2-3 (1996), 613–617 (cited: 10)
1995
148.
I. Ya. Aref'eva, K. S. Viswanathan, I. V. Volovich, “Planckian-energy scattering, colliding plane gravitational waves and black hole creation”, Nuclear Phys. B, 452:1-2 (1995), 346–366 (cited: 25) (cited: 20) (cited: 27)
149.
L. Accardi, I. Ya. Aref'eva, S. V. Kozyrev, I. V. Volovich, “The master field for large-$N$ matrix models and quantum groups”, Modern Phys. Lett. A, 10:31 (1995), 2323–2333 (cited: 10)
150.
M. Ferraris, M. Francaviglia, I. Volovich, “BRST invariance and Poincaré–Cartan forms”, Nuovo Cimento B (11), 110:3 (1995), 253–264 (cited: 2) (cited: 3) (cited: 2)
151.
R. Cianci, M. Francaviglia, I. Volovich, “Variational calculus and Poincaré–Cartan formalism on supermanifolds”, J. Phys. A, 28:3 (1995), 723–734 (cited: 1) (cited: 7) (cited: 4) (cited: 8)
1994
152.
V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, $p$-adic analysis and mathematical physics, Nauka, Moscow, 1994 , 352 pp.
153.
L. Accardi, P. Gibilisco, I. A. Volovich, “Yang–Mills gauge fields as harmonic functions for the Lévy Laplacian”, Russian J. Math. Phys., 2:2 (1994), 235–250 (cited: 22)
154.
V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, $p$-adic analysis and mathematical physics, Series on Soviet and East European Mathematics, 1, World Scientific Publishing Co. Inc., River Edge, NJ, 1994 , xx+319 pp. (cited: 171)
155.
A. Borowiec, M. Ferraris, M. Francaviglia, I. Volovich, “Energy-momentum complex for nonlinear gravitational Lagrangians in the first-order formalism”, Gen. Relativity Gravitation, 26:7 (1994), 637–645 (cited: 1) (cited: 20) (cited: 22)
156.
M. Ferraris, M. Francaviglia, I. Volovich, “The universality of vacuum Einstein equations with cosmological constant”, Classical Quantum Gravity, 11:6 (1994), 1505–1517 (cited: 5) (cited: 113) (cited: 77) (cited: 117)
157.
I. Ya. Aref'eva, R. Parthasarathy, K. S. Viswanathan, I. V. Volovich, “Coherent states, dynamics and semiclassical limit on quantum groups”, Modern Phys. Lett. A, 9:8 (1994), 689–703 (cited: 9)
1995
158.
I. V. Volovich, “From $p$-adic strings to étale strings”, Proc. Steklov Inst. Math., 203 (1995), 37–42
1994
159.
Izbrannye voprosy matematicheskoi fiziki i analiza, Sbornik statei. K semidesyatiletiyu so dnya rozhdeniya akademika Vasiliya Sergeevicha Vladimirova, Tr. MIAN, 203, ed. I. V. Volovich, Yu. N. Drozhzhinov, A. G. Sergeev, E. F. Mischenko, Nauka, M., 1994 , 496 pp.
1993
160.
M. Ferraris, M. Francaviglia, I. Volovich, “Universal gravitational equations”, Nuovo Cimento B (11), 108:11 (1993), 1313–1317 (cited: 2) (cited: 31) (cited: 36)
161.
I. V. Volovich, “Affine strings”, Phys. Dokl., 38:6 (1993), 236–237
162.
I. V. Volovich, “Affine strings”, Modern Phys. Lett. A, 8:19 (1993), 1827–1834 (cited: 13)
163.
I. V. Volovich, A. K. Gushchin, A. A. Dezin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zavyalov, V. A. Il'in, V. M. Millionshchikov, V. N. Mikhailov, A. G. Sergeev, “Vladimirov Vasilii Sergeevich (70-th birthday tribute)”, Differential Equations, 29:2 (1993), 305–313
164.
A. A. Logunov, A. A. Slavnov, O. I. Zavialov, O. A. Khrustalev, V. P. Mikhailov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zavialov, A. G. Sergeev, V. P. Pavlov, I. Ya. Aref'eva, Yu. A. Tserkovnikov, “The 70th birthday of V. S. Vladimirov”, Theoret. and Math. Phys., 94:1 (1993), 1–2
1992
165.
M. O. Katanaev, I. V. Volovich, “Theory of defects in solids and three-dimensional gravity”, Ann. Physics, 216:1 (1992), 1–28 (cited: 14) (cited: 257) (cited: 269)
1991
166.
I. Ya. Aref'eva, I. V. Volovich, “Quantum group particles and non-Archimedean geometry”, Phys. Lett. B, 268:2 (1991), 179–187 (cited: 5) (cited: 50) (cited: 51)
167.
I. Ya. Aref'eva, B. Dragovich, P. H. Frampton, I. V. Volovich, “The wave function of the universe and $p$-adic gravity”, Internat. J. Modern Phys. A, 6:24 (1991), 4341–4358 (cited: 35) (cited: 76)
168.
I. Ya. Aref'eva, I. V. Volovich, “Quantum group chiral fields and differential Yang-Baxter equations”, Phys. Lett. B, 264:1-2 (1991), 62–68 (cited: 39) (cited: 30)
169.
I. Ya. Aref'eva, I. V. Volovich, “Quantum group gauge fields”, Modern Phys. Lett. A, 6:10 (1991), 893–907 (cited: 61)
170.
I. Ya. Aref'eva, I. V. Volovich, “Two-dimensional gravity, string field theory and spin glasses”, Phys. Lett. B, 255:2 (1991), 197–201 (cited: 2) (cited: 2)
1993
171.
V. S. Vladimirov, I. V. Volovich, “Application of $p$-adic numbers to mathematical physics”, Proc. Steklov Inst. Math., 200 (1993), 97–109
1990
172.
V. S. Vladimirov, I. V. Volovich, “Construction of local and nonlocal conservation laws for nonlinear field equations”, Ann. Physik (7), 47:2-3 (1990), 228–238
173.
V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, “Spectral theory in $p$-adic quantum mechanics and representation theory”, Soviet Math. Dokl., 41:1 (1990), 40–44
174.
M. O. Katanaev, I. V. Volovich, “Two-dimensional gravity with dynamical torsion and strings”, Ann. Physics, 197:1 (1990), 1–32 (cited: 2) (cited: 84) (cited: 27) (cited: 64)
1991
175.
V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, “Spectral theory in $p$-adic quantum mechanics, and representation theory”, Math. USSR-Izv., 36:2 (1991), 281–309
1989
176.
I. V. Volovich, “$p$-adic quantum theory and strings”, IXth International Congress on Mathematical Physics (Swansea, 1988), Hilger, Bristol, 1989, 286–289
177.
K. Ramachandra, I. V. Volovich, “A generalization of the Riemann zeta-function”, Proc. Indian Acad. Sci. Math. Sci., 99:2 (1989), 155–162 (cited: 1) (cited: 2)
178.
V. S. Vladimirov, I. V. Volovich, “$p$-adic Schrödinger-type equation”, Lett. Math. Phys., 18:1 (1989), 43–53 (cited: 7) (cited: 39) (cited: 34)
179.
V. S. Vladimirov, I. V. Volovich, “$p$-adic quantum mechanics”, Comm. Math. Phys., 123:4 (1989), 659–676 (cited: 30) (cited: 157) (cited: 54) (cited: 152)
180.
I. V. Volovich, “Baby universes and the dimensionality of spacetime”, Phys. Lett. B, 219:1 (1989), 66–70 (cited: 15) (cited: 16)
181.
V. S. Vladimirov, I. V. Volovich, “A vacuum state in $p$-adic quantum mechanics”, Phys. Lett. B, 217:4 (1989), 411–415 (cited: 1) (cited: 15) (cited: 1) (cited: 13)
1988
182.
V. S. Vladimirov, I. V. Volovich, “Boundary value problems for nonlinear equations of a relativistic string”, Functional and numerical methods in mathematical physics, Naukova Dumka, Kiev, 1988, 48–53
183.
I. Ya. Aref'eva, I. V. Volovich, “Strings, gravity and $p$-adic space-time”, Proceedings of the Fourth Seminar on Quantum Gravity (Moscow, 1987), World Sci. Publ., Teaneck, NJ, 1988, 409–422 (cited: 2)
184.
V. S. Vladimirov, I. V. Volovich, “$p$-adic quantum mechanics”, Soviet Phys. Dokl., 33:9 (1988), 669–670 (1989)
185.
I. Ya. Aref'eva, B. G. Dragović, I. V. Volovich, “$p$-adic superstrings”, Phys. Lett. B, 214:3 (1988), 339–349 (cited: 20) (cited: 3) (cited: 15)
186.
I. Ya. Aref'eva, B. G. Dragović, I. V. Volovich, “Open and closed $p$-adic strings and quadratic extensions of number fields”, Phys. Lett. B, 212:3 (1988), 283–291 (cited: 30) (cited: 7) (cited: 24)
187.
I. Ya. Aref'eva, B. G. Dragović, I. V. Volovich, “On the adelic string amplitudes”, Phys. Lett. B, 209:4 (1988), 445–450 (cited: 9) (cited: 51) (cited: 24) (cited: 44)
188.
I. V. Volovich, “Harmonic analysis and $p$-adic strings”, Lett. Math. Phys., 16:1 (1988), 61–67 (cited: 1) (cited: 35) (cited: 7) (cited: 27)
189.
I. Ya. Aref'eva, B. G. Dragović, I. V. Volovich, “On the $p$-adic summability of the anharmonic oscillator”, Phys. Lett. B, 200:4 (1988), 512–514 (cited: 11) (cited: 55) (cited: 30) (cited: 59)
1987
190.
I. V. Volovich, “$p$-adic string”, Classical Quantum Gravity, 4:4 (1987), L83–L87 (cited: 59) (cited: 270) (cited: 262)
191.
I. V. Volovich, “$p$-adic space-time and string theory”, Theoret. and Math. Phys., 71:3 (1987), 574–576 (cited: 25) (cited: 54)
192.
I. Ya. Aref'eva, I. V. Volovich, B. G. Dragovich, “Spontaneous reduction in multidimensional ($D=10, 11$) supergravity theories with arbitrary signature”, Theoret. and Math. Phys., 70:3 (1987), 297–304 (cited: 6) (cited: 4)
193.
I. Ya. Aref'eva, I. V. Volovich, “Tetrad formalism in string field theory”, Theoret. and Math. Phys., 71:2 (1987), 562–563
194.
B. V. Boyarsky, O. A. Oleinik, A. V. Babin, M. I. Vishik, Yu. S. Ilyashenko, V. M. Millionshchikov, D. Serr, V. S. Vladimirov, I. V. Volovich, V. V. Zharinov, G. M. Zaslavsky, R. Z. Sagdeev, D. A. Ysikov, A. A. Chernikov, B. A. Malomed, M. I. Tribel'sky, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 42:3(255) (1987), 221–228
1986
195.
I. Ya. Aref'eva, I. V. Volovich, “Gauge invariant string field theory and nonassociative algebra”, Fields and geometry (Karpacz, 1986), World Sci. Publ., Teaneck, NJ, 1986, 266–325
196.
I. V. Volovich, M. O. Katanaev, “Quantum strings with a dynamic geometry”, JETP Lett., 43:5 (1986), 267–269 (cited: 3)
197.
I. Ya. Aref'eva, I. V. Volovich, “String field algebra”, Phys. Lett. B, 182:3-4 (1986), 312–316 (cited: 20) (cited: 13)
198.
I. Ya. Aref'eva, I. V. Volovich, “Gauge-invariant string interaction and nonassociative algebra”, Phys. Lett. B, 182:2 (1986), 159–163 (cited: 11) (cited: 9)
199.
I. Ya. Aref'eva, B. G. Dragović, I. V. Volovich, “Extra time-like dimensions lead to a vanishing cosmological constant”, Phys. Lett. B, 177:3-4 (1986), 357–360 (cited: 1) (cited: 28) (cited: 27)
200.
M. O. Katanayev, I. V. Volovich, “String model with dynamical geometry and torsion”, Phys. Lett. B, 175:4 (1986), 413–416 (cited: 2) (cited: 83) (cited: 50) (cited: 78)
201.
V. S. Vladimirov, I. V. Volovich, “Boundary value problems for nonlinear equations of a relativistic string”, Dokl. AN SSSR, 289:5 (1986), 1043–1047 (cited: 2)
202.
I. Ya. Aref'eva, I. V. Volovich, “Hyperbolic manifolds as vacuum solutions in Kaluza-Klein theories”, Nuclear Phys. B, 274:3-4 (1986), 619–632 (cited: 12) (cited: 5)
203.
I. Ya. Aref'eva, I. V. Volovich, “Reconstruction of superconnection from physical fields in the $N=4$ supersymmetric Yang-Mills theory”, Classical Quantum Gravity, 3:4 (1986), 617–623 (cited: 1) (cited: 2) (cited: 2)
1988
204.
O. I. Bogoyavlenskii, V. S. Vladimirov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. V. Zharinov, V. P. Mikhailov, “Boundary value problems of mathematical physics”, Proc. Steklov Inst. Math., 175 (1988), 65–105
1986
205.
I. Ya. Aref'eva, I. V. Volovich, “Gauge-invariant action of interacting bosonic strings”, Theoret. and Math. Phys., 67:3 (1986), 630–633 (cited: 1) (cited: 3)
206.
I. Ya. Aref'eva, I. V. Volovich, “Covariant quantization of gauge-invariant string field theories”, Theoret. and Math. Phys., 67:2 (1986), 521–524 (cited: 1) (cited: 1)
207.
I. V. Volovich, M. O. Katanaev, “Scalar fields and dynamical torsion in Kaluza–Klein theories”, Theoret. and Math. Phys., 66:1 (1986), 53–60 (cited: 1) (cited: 3)
1985
208.
I. V. Volovich, “Constraint equations in supersymmetric gauge theories and vector bundles over twistors”, Group theoretical methods in physics (Zvenigorod, 1982), v. 1–3, Harwood Academic Publ., Chur, 1985, 579–585
209.
I. Ya. Aref'eva, I. V. Volovich, “Supersymmetry: Kaluza–Klein theory, anomalies, and superstrings”, Soviet Phys. Uspekhi, 28:8 (1985), 694–708 (1986)
210.
I. Ya. Aref'eva, I. V. Volovich, “Higher conservation laws for supersymmetric gauge theories”, Proceedings of the third seminar on quantum gravity (Moscow, 1984), World Sci. Publishing, Singapore, 1985, 363–375
211.
V. S. Vladimirov, I. V. Volovich, “Conservation laws for nonlinear equations”, Current problems in numerical mathematics and mathematical modeling, “Nauka”, Sibirsk. Otdel., Novosibirsk, 1985, 147–162
212.
V. S. Vladimirov, I. V. Volovich, “On the definition of an integral in superspace”, Sov. Math. Dokl., 32 (1985), 817–819
213.
I. Ya. Aref'eva, I. V. Volovich, “Kaluza–Klein theories and the signature of space-time”, Phys. Lett. B, 164:4-6 (1985), 287–292 (cited: 1) (cited: 40) (cited: 33)
214.
H. Bohr, Ge Mo Lin, I. V. Volovich, “New hidden symmetries in 2-dimensional models”, Nuclear Phys. B, 260:3-4 (1985), 701–713 (cited: 5) (cited: 3)
215.
M. O. Katanayev, I. V. Volovich, “Higgs fields in Kaluza–Klein theory with dynamical torsion”, Phys. Lett. B, 156:5-6 (1985), 327–330 (cited: 16) (cited: 15)
216.
I. Ya. Aref'eva, I. V. Volovich, “Hidden-symmetry algebra for a supersymmetric gauge-invariant model”, Lett. Math. Phys., 9:3 (1985), 231–234 (cited: 6) (cited: 5)
217.
V. S. Vladimirov, I. V. Volovich, “Local and nonlocal currents for integrable systems”, Sov. Phys. Dokl., 30 (1985), 26–28
218.
V. S. Vladimirov, I. V. Volovich, “Conservation laws for non-linear equations”, Russian Math. Surveys, 40:4 (1985), 13–24 (cited: 2)
219.
I. Ya. Aref'eva, I. V. Volovich, “Manifolds of constant negative curvature as vacuum solutions in Kaluza–Klein and superstring theories”, Theoret. and Math. Phys., 64:2 (1985), 866–871 (cited: 6) (cited: 10)
220.
I. V. Volovich, “Supersymmetric chiral field with anomaly and its integrability”, Theoret. and Math. Phys., 63:2 (1985), 533–535 (cited: 1) (cited: 2)
221.
V. S. Vladimirov, I. V. Volovich, “Local and nonlocal currents for nonlinear equations”, Theoret. and Math. Phys., 62:1 (1985), 1–20 (cited: 4) (cited: 6)
1984
222.
V. S. Vladimirov, I. V. Volovich, “Conservation laws for nonlinear equations”, Sov. Phys. Dokl., 29 (1984), 986–988
223.
I. Ya. Aref'eva, I. V. Volovich, “Higher conservation laws for supersymmetric gauge theories”, Phys. Lett. B, 149:1-3 (1984), 131–134 (cited: 13) (cited: 11)
224.
V. S. Vladimirov, I. V. Volovich, “Diophantine approximation of the trigonometric moment problem”, Serdica, 10:1 (1984), 114–120
225.
V. S. Vladimirov, I. V. Volovich, “Superanalysis. Integral calculus”, Sov. Math. Dokl., 29 (1984), 521–525
226.
I. Ya. Aref'eva, I. V. Volovich, “Hidden symmetry and higher currents in supersymmetric gauge field theory”, Differential geometry, Lie groups and mechanics, VI, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 133, Nauka, Leningrad. Otdel., Leningrad, 1984, 6–16
227.
V. S. Vladimirov, I. V. Volovich, “Superanalysis. II. Integral calculus”, Theoret. and Math. Phys., 60:2 (1984), 743–765 (cited: 25) (cited: 46)
228.
V. S. Vladimirov, I. V. Volovich, “Differential calculus”, Theoret. and Math. Phys., 59:1 (1984), 317–335 (cited: 59) (cited: 67)
1983
229.
I. V. Volovich, “Supersymmetric Yang-Mills equations as an inverse scattering problem”, Lett. Math. Phys., 7:6 (1983), 517–521 (cited: 29) (cited: 4) (cited: 30)
230.
I. V. Volovich, “$\Lambda$-supermanifolds and fiber bundles”, Sov. Math. Dokl., 27 (1983), 350–353
231.
V. S. Vladimirov, I. V. Volovich, “Superanalysis. Differential calculus”, Sov. Math. Dokl., 28 (1983), 558–562
232.
I. V. Volovich, “Supersymmetric Yang-Mills theories and twistors”, Phys. Lett. B, 129:6 (1983), 429–431 (cited: 1) (cited: 27) (cited: 4) (cited: 25)
233.
I. V. Volovich, “Super-self-duality for supersymmetric Yang-Mills theory”, Phys. Lett. B, 123:5 (1983), 329–331 (cited: 2) (cited: 43) (cited: 38)
234.
I. V. Volovich, “Supersymmetric Yang–Mills theory and the inverse scattering method”, Theoret. and Math. Phys., 57:3 (1983), 1269–1272 (cited: 8) (cited: 10)
235.
I. V. Volovich, “Supersymmetric Yang–Mills theory as a holomorphic vector bundle over twistors and super-self-duality”, Theoret. and Math. Phys., 55:1 (1983), 338–341 (cited: 2) (cited: 3)
236.
I. V. Volovich, “On super-self-duality equations”, Theoret. and Math. Phys., 54:1 (1983), 55–62 (cited: 7) (cited: 4)
237.
V. S. Vladimirov, I. V. Volovich, “A statistical physics model”, Theoret. and Math. Phys., 54:1 (1983), 1–12 (cited: 1)
1982
238.
V. S. Vladimirov, I. V. Volovich, “The Wiener–Hopf equation, the Riemann-Hilbert problem and orthogonal polynomials”, Sov. Math. Dokl., 26 (1982), 415–419
239.
V. S. Vladimirov, I. V. Volovich, “Ising model with magnetic field and the diophantine moment problem”, Theoret. and Math. Phys., 53:1 (1982), 943–952 (cited: 1)
1979
240.
I. V. Volovich, “Quasiclassical expansion of the Euclidean $P(\varphi)_2$ model”, Theoret. and Math. Phys., 39:3 (1979), 477–480
1978
241.
I. V. Volovič, V. A. Zagrebnov, V. P. Frolov, “Quantum field theory in an asymptotically flat space-time”, Fiz. Èlementar. Castic i Atom. Jadra, 9:1 (1978), 147–211
242.
I. V. Volovich, “Classical equations of Euclidean field theory”, Theoret. and Math. Phys., 34:1 (1978), 9–14 (cited: 1)
1977
243.
I. V. Volovich, V. A. Zagrebnov, V. P. Frolov, “On the definition of the vacuum in the Gravitational field; the $\Re$ vacuum”, Theoret. and Math. Phys., 33:1 (1977), 843–852
1976
244.
I. V. Volovich, V. A. Zagrebnov, V. P. Frolov, “Quantum particle creation (Hawking effect) in nonstationary black holes”, Theoret. and Math. Phys., 29:2 (1976), 1012–1021 (cited: 6)
245.
I. V. Volovich, “Quasicalssical expansion in quantum field theory and solitons”, Theoret. and Math. Phys., 29:1 (1976), 901–905
1975
246.
I. Ya. Aref'eva, A. K. Pogrebkov, V. N. Sushko, I. V. Volovich, “The renormalized Hamiltonian, the local fields, and the scattering theory for some translationally-invariant models of quantum field theory”, Mezhdunarodnaya konferentsiya po matematicheskim problemam kvantovoi teorii polya i kvantovoi statistiki. Chast I. Aksiomaticheskaya kvantovaya teoriya polya, Sbornik dokladov (Moskva, 12–17 dekabrya 1972), Tr. MIAN SSSR, 135, 1975, 95–104 (cited: 1)
1973
247.
I. V. Volovich, E. A. Dynin, V. A. Zagrebnov, V. P. Frolov, “On the application of field-theory methods in the Ising model II. Calculation of the critical index $\eta$”, Theoret. and Math. Phys., 15:3 (1973), 621–627
248.
I. V. Volovich, E. A. Dynin, V. A. Zagrebnov, V. P. Frolov, “Application of field theory methods in the Ising model. I”, Theoret. and Math. Phys., 14:2 (1973), 203–206 (cited: 1)
1971
249.
I. V. Volovich, V. N. Sushko, “Constructive field theory: Thirring model interaction $(\widetilde\psi\gamma^{\mu}\widetilde\psi)_2^2$. I. Local field”, Theoret. and Math. Phys., 9:2 (1971), 1086–1100 (cited: 5)
Perturbation theory for open quantum systems I. V. Volovich, A. S. Trushechkin Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2017 November 29, 2017 14:15
Квантовая динамика и $C^*$-алгебры I. V. Volovich, V. Zh. Sakbaev International Conference of Mathematical Physics dedicated to the memory of academician V. S. Vladimirov November 9, 2017 11:00
6.
Оценки флуктуаций квантовой динамики I. V. Volovich Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS September 14, 2017 11:00
Functional mechanics and black holes Igor Volovich School-Seminar "Interaction of Mathematics and Physics: New Perspectives" for graduate students and young researchers August 23, 2012 11:00
Opening ceremony of the Workshop I. V. Volovich, V. V. Kozlov, N. U. Arakelian, B. T. Batikyan Second Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics October 6, 2008 10:00
Selected topics of mathematical physics and analysis, Collected papers. In commemoration of the 90th anniversary of Academician Vasilii Sergeevich Vladimirov's birth, Tr. Mat. Inst. Steklova, 285, ed. I. V. Volovich, A. G. Sergeev, 2014, 287 с. http://mi.mathnet.ru/book1514
Selected topics of mathematical physics and $p$-adic analysis, Collected papers, Tr. Mat. Inst. Steklova, 265, ed. I. V. Volovich, E. F. Mishchenko, 2009, 320 с. http://mi.mathnet.ru/book1022
Selected topics of $p$-adic mathematical physics and analysis, Collected papers. Dedicated to the 80th birthday of academician Vasilii Sergeevich Vladimirov, Tr. Mat. Inst. Steklova, 245, ed. I. V. Volovich, E. F. Mishchenko, 2004, 303 с. http://mi.mathnet.ru/book258
Selected problems of mathematical physics and analysis, Collection of articles. To seventy birthday of Academician V. S. Vladimirov, Trudy Mat. Inst. Steklov., 203, ed. I. V. Volovich, Yu. N. Drozhzhinov, A. G. Sergeev, E. F. Mishchenko, 1994, 496 с. http://mi.mathnet.ru/book1095
2018
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