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On the ergodic properties of Glauber dynamics
Authors:D. Stroock  B. Zegarlinski
Affiliation:(1) MIT, 02139 Cambridge, Massachusetts;(2) Imperial College, SW7 2BZ London, UK
Abstract:We show that if there is an infinite volume Gibbs measure which satisfies a logarithmic Sobolev inequality with local coefficients of moderate growth, then the corresponding stochastic dynamics decays to equilibrium exponentially fast in the uniform norm.
Keywords:Glauber dynamics  logarithmic Sobolev inequality  ergodic properties
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