Nonuniqueness for specifications in $\ell^{2+ε}$

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dc.creatorBerger, Noam
dc.creatorHoffman, Christopher
dc.creatorSidoravicius, Vladas
dc.date2003-12-17
dc.date2005-02-07
dc.date.accessioned2026-07-07T05:04:01Z
dc.date.available2026-07-07T05:04:01Z
dc.descriptionFor 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.
dc.description16 Pages
dc.identifierhttps://arxiv.org/abs/math/0312344
dc.identifierhttp://arxiv.org/abs/math/0312344
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69641
dc.subjectProbability
dc.subjectDynamical Systems
dc.subject60J35; 37A99
dc.titleNonuniqueness for specifications in $\ell^{2+ε}$
dc.typetext

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