Weak Convergence of Measures in Conservative Systems
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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 suggested. The existence of such a limit leads to a new interpretation of the second law of thermodynamics. Bibliography: 5 titles.
KeywordsDynamical System Phase Space Probability Measure Weak Convergence Phase Flow
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