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Short Time Conservation of Gibbsianness Under Local Stochastic Evolutions

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Abstract

We prove that a Gibbs measure with a finite range interaction evolved under a general reversible local stochastic dynamics remains Gibbsian for a short interval of time. This generalizes previous results for Glauber dynamics.

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Authors and Affiliations

  1. Eurandom, TU Eindhoven, Postbus 513, 5600 MB, Eindhoven, The Netherlands

    Arnaud Le Ny & Frank Redig

Authors
  1. Arnaud Le Ny
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  2. Frank Redig
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Le Ny, A., Redig, F. Short Time Conservation of Gibbsianness Under Local Stochastic Evolutions. Journal of Statistical Physics 109, 1073–1090 (2002). https://doi.org/10.1023/A:1020428711181

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  • DOI: https://doi.org/10.1023/A:1020428711181

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