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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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