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Mat. Sb., 2003, Volume 194, Number 8, Pages 83–112 (Mi msb762)  

This article is cited in 14 scientific papers (total in 14 papers)

Non-degenerate fixed points and mixing in flows on a 2-torus

A. V. Kochergin

M. V. Lomonosov Moscow State University

Abstract: A result of Sinai and Khanin on mixing in the special flow over a circle rotation with function having asymmetric logarithmic singularities is improved.

DOI: https://doi.org/10.4213/sm762

Full text: PDF file (353 kB)
References: PDF file   HTML file

English version:
Sbornik: Mathematics, 2003, 194:8, 1195–1224

Bibliographic databases:

UDC: 517.987.5+517.938
MSC: 37E35, 37A25
Received: 17.02.2003

Citation: A. V. Kochergin, “Non-degenerate fixed points and mixing in flows on a 2-torus”, Mat. Sb., 194:8 (2003), 83–112; Sb. Math., 194:8 (2003), 1195–1224

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Kochergin A., “Well-approximable angles and mixing for flows on $\mathbb T^2$ with nonsingular fixed points”, Electron. Res. Announc. Amer. Math. Soc., 10 (2004), 113–121  crossref  mathscinet  zmath  isi  scopus
    2. 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
    3. 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
    4. 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
    5. 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
    6. V. V. Ryzhikov, “On the spectral and mixing properties of rank-one constructions in ergodic theory”, Dokl. Math., 74:1 (2006), 545–547  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
    7. A. V. Kochergin, “Nondegenerate Saddles and Nonmixing Transformations II”, Math. Notes, 81:1 (2007), 126–129  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    8. 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
    9. Ulcigrai C., “Mixing of asymmetric logarithmic suspension flows over interval exchange transformations”, Ergodic Theory Dynam. Systems, 27:3 (2007), 991–1035  crossref  mathscinet  zmath  isi  elib  scopus
    10. Ulcigrai C., “Weak mixing for logarithmic flows over interval exchange transformations”, J. Mod. Dyn., 3:1 (2009), 35–49  crossref  mathscinet  zmath  isi  elib  scopus
    11. Corinna Ulcigrai, “Absence of mixing in area-preserving flows on surfaces”, Ann. Math, 173:3 (2011), 1743  crossref  mathscinet  zmath  isi  scopus
    12. Bassam Fayad, Adam Kanigowski, “Multiple mixing for a class of conservative surface flows”, Invent. math, 2015  crossref  mathscinet  scopus
    13. Ravotti D., “Quantitative Mixing For Locally Hamiltonian Flows With Saddle Loops on Compact Surfaces”, Ann. Henri Poincare, 18:12 (2017), 3815–3861  crossref  mathscinet  zmath  isi  scopus
    14. Chaika J. Wright A., “A Smooth Mixing Flow on a Surface With Nondegenerate Fixed Points”, J. Am. Math. Soc., 32:1 (2019), 81–117  crossref  mathscinet  zmath  isi
  • Математический сборник - 1992–2005 Sbornik: Mathematics (from 1967)
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