Time averages and Boltzmann extremals for Markov chains,discrete Liouville equations,and the Kac circular model |
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Authors: | S. Z. Adzhiev V. V. Vedenyapin |
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Affiliation: | 1.Keldysh Institute of Applied Mathematics,Russian Academy of Sciences,Moscow,Russia |
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Abstract: | Time averages are proved to coincide with Boltzmann extremals for Markov chains, discrete Liouville equations, and their generalizations. A variational principle is proposed for finding stationary solutions in these cases. |
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