Exponential convergence rate in entropy

doi:10.1007/s11464-007-0022-5

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Front. Math. China ›› 2007, Vol. 2 ›› Issue (3) : 329-358. DOI: 10.1007/s11464-007-0022-5

Exponential convergence rate in entropy

Mu-Fa Chen

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Abstract

The exponential convergence rate in entropy 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 ?ve examples with precise or qualitatively exact estimates are presented.