Journal of Statistical Physics

, Volume 81, Issue 5, pp 1007–1019

On the ergodic properties of Glauber dynamics

  • D. Stroock
  • B. Zegarlinski

DOI: 10.1007/BF02179301

Cite this article as:
Stroock, D. & Zegarlinski, B. J Stat Phys (1995) 81: 1007. doi:10.1007/BF02179301


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.

Key Words

Glauber dynamicslogarithmic Sobolev inequalityergodic properties

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • D. Stroock
    • 1
  • B. Zegarlinski
    • 2
  1. 1.MITCambridge
  2. 2.Imperial CollegeLondonUK