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Exponential convergence rate in entropy
Authors:Mu-Fa Chen
Affiliation:School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China;
Abstract:The exponential convergence rate in entroy is studied for symmetric forms, with a special attention to the Markov chain with a state space having two points only. Some upper and lower bounds of the rate are obtained and five examples with precise or qualitatively exact estimates are presented.
Keywords:Exponential convergence rate  spectral gap  logarithmic Sobolev constant  symmetric form  Markov chain
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