Publication: Logarithmic Sobolev inequality for some models of random walks
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Date
1998
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Institute of Mathematical Statistics
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Yau, Horng-Tzer, and Tzong-Yow Lee. 1998. “Logarithmic Sobolev inequality for some models of random walks.” The Annals of Probability 26 (4) (October): 1855–1873. doi:10.1214/aop/1022855885.
Abstract
We determine the logarithmic Sobolev constant for the Bernoulli- Laplace model and the time to stationarity for the symmetric simple exclusion model up to the leading order. Our method for proving the logarithmic Sobolev inequality is based on a martingale approach and is applied to the random transposition model as well. The proof for the time to stationarity is based on a general observation relating the time to stationarity to the hydrodynamical limit.
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