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Zap. Nauchn. Sem. POMI, 2003, Volume 300, Pages 194–205 (Mi znsl1010)  

Weak convergence of measures in conservative systems

V. V. Kozlov, D. V. Treschev

M. V. Lomonosov Moscow State University

Abstract: Families of probability measures on the phase space of a dynamical system are considered. These measures are obtained as shifts of a given measure by the phase flow. Sufficient conditions for the existence of the weak convergence of the measures as the rate of the shift tends to infinity are proposed. Existence of such a limit leads to a new interpretation of the second law of thermodynamics.

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English version:
Journal of Mathematical Sciences (New York), 2005, 128:2, 2791–2797

Bibliographic databases:

Document Type: Article
UDC: 517.19
Received: 30.11.2002
Language: English

Citation: V. V. Kozlov, D. V. Treschev, “Weak convergence of measures in conservative systems”, Representation theory, dynamical systems. Part VIII, Special issue, Zap. Nauchn. Sem. POMI, 300, POMI, St. Petersburg, 2003, 194–205; J. Math. Sci. (N. Y.), 128:2 (2005), 2791–2797

Citation in format AMSBIB
\Bibitem{KozTre03}
\by V.~V.~Kozlov, D.~V.~Treschev
\paper Weak convergence of measures in conservative systems
\inbook Representation theory, dynamical systems. Part~VIII
\bookinfo Special issue
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 300
\pages 194--205
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1010}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1995359}
\zmath{https://zbmath.org/?q=an:1120.37002}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 128
\issue 2
\pages 2791--2797
\crossref{https://doi.org/10.1007/s10958-005-0233-9}


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