%0 Journal Article
%T Nonuniqueness for specifications in $\ell^{2+ŠĆ}$
%A Noam Berger
%A Christopher Hoffman
%A Vladas Sidoravicius
%J Mathematics
%D 2003
%I arXiv
%X For every $p>2$, we construct a regular and continuous specification ($g$-function), which has a variation sequence that is in $l^p$ 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.
%U http://arxiv.org/abs/math/0312344v4