Transformations of one-dimensional Gibbs measures with infinite range interaction
Probability
2012-03-23 v1 Statistical Mechanics
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1002.4796,
title = {Transformations of one-dimensional Gibbs measures with infinite range interaction},
author = {Frank Redig and Feijia Wang},
journal= {arXiv preprint arXiv:1002.4796},
year = {2012}
}