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

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

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
2. Daniel J. Rudolph, “ℤ n and ℝ n cocycle extensions and complementary algebras”, Ergod Th Dynam Sys, 6:4 (1986)
3. A. Hof, “On a “structure intermediate between quasiperiodic and random””, J Statist Phys, 84:1-2 (1996), 309
4. A. V. Kochergin, “A mixing special flow over a circle rotation with almost Lipschitz function”, Sb. Math., 193:3 (2002), 359–385
5. A. V. Kochergin, “Non-degenerate fixed points and mixing in flows on a 2-torus”, Sb. Math., 194:8 (2003), 1195–1224
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
7. A. V. Kochergin, “Nondegenerate Saddle Points and the Absence of Mixing in Flows on Surfaces”, Proc. Steklov Inst. Math., 256 (2007), 238–252
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