Semicontinuity of entropy, existence of equilibrium states and continuity of physical measures

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dc.creatorAraujo, Vitor
dc.date2004-10-05
dc.date2006-10-30
dc.date.accessioned2026-07-07T06:38:53Z
dc.date.available2026-07-07T06:38:53Z
dc.descriptionWe obtain some results of existence and continuity of physical measures through equilibrium states and apply these to non-uniformly expanding transformations on compact manifolds with non-flat critical sets, obtaining sufficient conditions for continuity of physical measures and, for local diffeomorphisms, necessary and sufficient conditions for stochastic stability. In particular we show that, under certain conditions, stochastically robust non-uniform expansion implies existence and continuous variation of physical measures.
dc.description16 pages - Final version
dc.identifierhttps://arxiv.org/abs/math/0410099
dc.identifierhttp://arxiv.org/abs/math/0410099
dc.identifierDiscrete and Continuous Dynamical Systems 17(2), 2007, 371-386
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100897
dc.subjectDynamical Systems
dc.subject37D25; 37D35
dc.titleSemicontinuity of entropy, existence of equilibrium states and continuity of physical measures
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