Nonuniqueness for specifications in $\ell^{2+\epsilon}$
概率论
2007-05-23 v4 动力系统
摘要
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.
引用
@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}
}
备注
16 Pages