Variational principle and almost quasilocality for some renormalized measures

Simple item page
dc.creatorFernandez, Roberto
dc.creatorNy, Arnaud Le
dc.creatorRedig, Frank
dc.date2001-07-11
dc.date.accessioned2026-07-07T04:42:34Z
dc.date.available2026-07-07T04:42:34Z
dc.descriptionWe restore part of the thermodynamic formalism for some renormalized measures that are known to be non-Gibbsian. We first point out that a recent theory due to Pfister implies that for block-transformed measures free energies and relative entropy densities exist and are conjugate convex functionals. We then determine a necessary and sufficient condition for consistency with a specification that is quasilocal in a fixed direction. As corollaries we obtain consistency results for models with FKG monotonicity and for models with appropriate "continuity rates". For (noisy) decimations or projections of the Ising model, these results imply almost quasilocality of the decimated "+" and "-" measures.
dc.description19 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0107081
dc.identifierhttp://arxiv.org/abs/math/0107081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61833
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60G60 (primary) 82B20, 82B30 (secondary)
dc.titleVariational principle and almost quasilocality for some renormalized measures
dc.typetext

Files

Collections

arXiv