Maximum Kolmogorov-Sinai Entropy Versus Minimum Mixing Time in Markov Chains - CEA - Commissariat à l’énergie atomique et aux énergies alternatives
Article Dans Une Revue Journal of Statistical Physics Année : 2018

Maximum Kolmogorov-Sinai Entropy Versus Minimum Mixing Time in Markov Chains

Résumé

We establish a link between the maximization of Kolmogorov Sinai entropy (KSE) and the minimization of the mixing time for general Markov chains. Since the maximisation of KSE is analytical and easier to compute in general than mixing time, this link provides a new faster method to approximate the minimum mixing time dynamics. It could be interesting in computer sciences and statistical physics, for computations that use random walks on graphs that can be represented as Markov chains.
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Dates et versions

cea-01687782 , version 1 (18-01-2018)

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Martin Mihelich, Bérengère Dubrulle, Didier Paillard, Quentin Kral, Davide Faranda. Maximum Kolmogorov-Sinai Entropy Versus Minimum Mixing Time in Markov Chains. Journal of Statistical Physics, 2018, 170, pp.62 - 68. ⟨10.1007/s10955-017-1874-z⟩. ⟨cea-01687782⟩
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