Nonuniqueness for specifications in $\ell^{2+\epsilon}$
Probability
2007-05-23 v4 Dynamical Systems
Abstract
For every , we construct a regular and continuous specification (-function), which has a variation sequence that is in and which admits multiple Gibbs measures. Combined with a recent result of Johansson and Oberg, this determines the optimal modulus of continuity for a specification which admits multiple Gibbs measures.
Keywords
Cite
@article{arxiv.math/0312344,
title = {Nonuniqueness for specifications in $\ell^{2+\epsilon}$},
author = {Noam Berger and Christopher Hoffman and Vladas Sidoravicius},
journal= {arXiv preprint arXiv:math/0312344},
year = {2007}
}
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16 Pages