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Convergence of Markov Chains in Information Divergence
Authors:Peter Harremoës  Klaus Kähler Holst
Institution:(1) Quantum Computing and Advanced Systems Research Centre for Mathematics and Computer Science (CWI), Amsterdam, The Netherlands;(2) Department of Biostatistics, University of Copenhagen, Copenhagen, Denmark
Abstract:Information theoretic methods are used to prove convergence in information divergence of reversible Markov chains. Also some ergodic theorems for information divergence are proved.
Keywords:Information divergence  Increasing information  Decreasing information  Markov chain  Reversible Markov chain  Ergodic theorems
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