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Izv. Akad. Nauk SSSR Ser. Mat., 1973, Volume 37, Issue 6, Pages 1275–1298 (Mi izv2362)  

This article is cited in 7 scientific papers (total in 7 papers)

Time changes in flows and mixing

A. V. Kochergin


Abstract: Let $\{U_t\}$ be an ergodic aperiodic flow in a Lebesgue space $(Y,\mu_1)$. By a time change, smooth along the trajectories of the flow and arbitrarily close to the identity, it can be transformed into a mixing flow. If, in addition, $Y$ is a compact metric space, $\{U_t\}$ is continuous and $\mu_1$ is regular, then the change may be chosen to be continuous on and equal to the identity everywhere except on an arbitrary open set of positive measure.

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English version:
Mathematics of the USSR-Izvestiya, 1973, 7:6, 1273–1294

Bibliographic databases:

UDC: 519.9
MSC: 28A65
Received: 16.05.1973

Citation: A. V. Kochergin, “Time changes in flows and mixing”, Izv. Akad. Nauk SSSR Ser. Mat., 37:6 (1973), 1275–1298; Math. USSR-Izv., 7:6 (1973), 1273–1294

Citation in format AMSBIB
\Bibitem{Koc73}
\by A.~V.~Kochergin
\paper Time changes in flows and mixing
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1973
\vol 37
\issue 6
\pages 1275--1298
\mathnet{http://mi.mathnet.ru/izv2362}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=346129}
\zmath{https://zbmath.org/?q=an:0286.28013}
\transl
\jour Math. USSR-Izv.
\yr 1973
\vol 7
\issue 6
\pages 1273--1294
\crossref{https://doi.org/10.1070/IM1973v007n06ABEH002087}


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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. A. V. Kochergin, “On mixing in special flows over a shifting of segments and in smooth flows on surfaces”, Math. USSR-Sb., 25:3 (1975), 441–469  mathnet  crossref  mathscinet  zmath
    2. Daniel J. Rudolph, “ℤ n and ℝ n cocycle extensions and complementary algebras”, Ergod Th Dynam Sys, 6:4 (1986)  crossref  mathscinet
    3. A. Hof, “On a “structure intermediate between quasiperiodic and random””, J Statist Phys, 84:1-2 (1996), 309  crossref  mathscinet  zmath  adsnasa
    4. A. V. Kochergin, “A mixing special flow over a circle rotation with almost Lipschitz function”, Sb. Math., 193:3 (2002), 359–385  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    5. 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
    6. 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
    7. 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
  • Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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