2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69641For 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.16 PagesProbabilityDynamical Systems60J35; 37A99text