Geodesic
Weak convergence of measures in conservative systems
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part VIII, Tome 300 (2003), pp. 194-205 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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V. V. Kozlov; D. V. Treschev. Weak convergence of measures in conservative systems. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part VIII, Tome 300 (2003), pp. 194-205. http://geodesic.mathdoc.fr/item/ZNSL_2003_300_a18/

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