Transformations of one-dimensional Gibbs measures with infinite range interaction

Frank Redig; Feijia Wang

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arXiv · 1002.4796

Transformations of one-dimensional Gibbs measures with infinite range interaction

Frank Redig·Feijia Wang

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Abstract

We study single-site stochastic and deterministic transforma- tions of one-dimensional Gibbs measures in the uniqueness regime with infinite-range interactions. We prove conservation of Gibbsianness and give quantitative estimates on the decay of the transformed potential. As examples, we consider exponentially decaying potentials, and potentials decaying as a power-law.

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math.PR cond-mat.stat-mech math-ph math.MP

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Frank Redig, Feijia Wang. 2010-02-25. Transformations of one-dimensional Gibbs measures with infinite range interaction. https://arxiv.org/abs/1002.4796

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