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Funktsional. Anal. i Prilozhen., 1992, Volume 26, Issue 3, Pages 1–21 (Mi faa795)  

This article is cited in 17 scientific papers (total in 19 papers)

Mixing for some classes of special flows over rotations of the circle

Ya. G. Sinai, K. M. Khanin

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Full text: PDF file (1859 kB)
References: PDF file   HTML file

English version:
Functional Analysis and Its Applications, 1992, 26:3, 155–169

Bibliographic databases:

UDC: 517.53+517.57
Received: 21.06.1991

Citation: Ya. G. Sinai, K. M. Khanin, “Mixing for some classes of special flows over rotations of the circle”, Funktsional. Anal. i Prilozhen., 26:3 (1992), 1–21; Funct. Anal. Appl., 26:3 (1992), 155–169

Citation in format AMSBIB
\Bibitem{SinKha92}
\by Ya.~G.~Sinai, K.~M.~Khanin
\paper Mixing for some classes of special flows over rotations of the circle
\jour Funktsional. Anal. i Prilozhen.
\yr 1992
\vol 26
\issue 3
\pages 1--21
\mathnet{http://mi.mathnet.ru/faa795}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1189019}
\zmath{https://zbmath.org/?q=an:0797.58045}
\transl
\jour Funct. Anal. Appl.
\yr 1992
\vol 26
\issue 3
\pages 155--169
\crossref{https://doi.org/10.1007/BF01075628}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. V. Ryzhikov, “The absence of mixing in special flows over rearrangements of segments”, Math. Notes, 55:6 (1994), 648–650  mathnet  crossref  mathscinet  zmath  isi
    2. 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
    3. V. V. Ryzhikov, “Intertwinings of tensor products, and the stochastic centralizer of dynamical systems”, Sb. Math., 188:2 (1997), 237–263  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    4. A. V. Kochergin, “Non-degenerate fixed points and mixing in flows on a 2-torus”, Sb. Math., 194:8 (2003), 1195–1224  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    5. A. V. Kochergin, “Non-degenerate fixed points and mixing in flows on a 2-torus. II”, Sb. Math., 195:3 (2004), 317–346  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. A. V. Kochergin, “Generalizations of theorems on mixing flows with non-degenerate saddle points on a 2-torus”, Sb. Math., 195:9 (2004), 1253–1270  mathnet  crossref  crossref  mathscinet  zmath  isi
    7. A. V. Kochergin, “Hölder Time Change and Mixing Rate in a Flow on the Two-Dimensional Torus”, Proc. Steklov Inst. Math., 244 (2004), 201–232  mathnet  mathscinet  zmath
    8. Fraczek, K, “A class of special flows over irrational rotations which is disjoint from mixing flows”, Ergodic Theory and Dynamical Systems, 24 (2004), 1083  crossref  mathscinet  zmath  isi
    9. I. A. Dynnikov, S. P. Novikov, “Topology of quasi-periodic functions on the plane”, Russian Math. Surveys, 60:1 (2005), 1–26  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    10. S. P. Novikov, “Topology of generic Hamiltonian foliations on Riemann surfaces”, Mosc. Math. J., 5:3 (2005), 633–667  mathnet  mathscinet  zmath
    11. Fraczek, K, “On disjointness properties of some smooth flows”, Fundamenta Mathematicae, 185:2 (2005), 117  crossref  mathscinet  zmath  isi
    12. B. R. Fayad, M. Lemańczy, “On the ergodicity of cylindrical transformations given by the logarithm”, Mosc. Math. J., 6:4 (2006), 657–672  mathnet  mathscinet  zmath
    13. A. V. Kochergin, “Nondegenerate Saddles and Nonmixing Transformations II”, Math. Notes, 81:1 (2007), 126–129  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    14. V. V. Kozlov, “Dynamical Systems with Multivalued Integrals on a Torus”, Proc. Steklov Inst. Math., 256 (2007), 188–205  mathnet  crossref  mathscinet  zmath  elib  elib
    15. A. V. Kochergin, “Nondegenerate Saddle Points and the Absence of Mixing in Flows on Surfaces”, Proc. Steklov Inst. Math., 256 (2007), 238–252  mathnet  crossref  mathscinet  zmath  elib  elib
    16. Fraczek K., Lemanczyk M., “Ratner's Property and Mild Mixing for Special Flows Over Two-Dimensional Rotations”, J Mod Dyn, 4:4 (2010), 609–635  isi
    17. 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
    18. Fraczek K., Lemanczyk M., “a Class of Mixing Special Flows Over Two Dimensional Rotations”, Discret. Contin. Dyn. Syst., 35:10 (2015), 4823–4829  crossref  isi
    19. Fayad B. Kanigowski A., “Multiple Mixing For a Class of Conservative Surface Flows”, Invent. Math., 203:2 (2016), 555–614  crossref  isi
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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