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dc.contributor.authorGaribaldi, Eduardopt_BR
dc.contributor.authorLopes, Artur Oscarpt_BR
dc.date.accessioned2011-01-15T05:59:01Zpt_BR
dc.date.issued2008pt_BR
dc.identifier.issn0143-3857pt_BR
dc.identifier.urihttp://hdl.handle.net/10183/27440pt_BR
dc.description.abstractWe propose a new model of ergodic optimization for expanding dynamical systems: the holonomic setting. In fact, we introduce an extension of the standard model used in this theory. The formulation we consider here is quite natural if one wants a meaning for possible variations of a real trajectory under the forward shift. In other contexts (for twist maps, for instance), this property appears in a crucial way. A version of the Aubry–Mather theory for symbolic dynamics is introduced. We are mainly interested here in problems related to the properties of maximizing probabilities for the two-sided shift. Under the transitive hypothesis, we show the existence of sub-actions for Holder potentials also in the holonomic setting. We analyze then connections between calibrated sub-actions and the Ma˜n´e potential. A representation formula for calibrated sub-actions is presented, which drives us naturally to a classification theorem for these sub-actions. We also investigate properties of the support of maximizing probabilities.en
dc.format.mimetypeapplication/pdf
dc.language.isoengpt_BR
dc.relation.ispartofErgodic theory and dynamical systems. Cambrige. Vol. 28, no. 4 (June 2008), p. 791-815.pt_BR
dc.rightsOpen Accessen
dc.subjectOtimização ergódicapt_BR
dc.subjectSistemas dinamicos : Ergodicidade : Topologiapt_BR
dc.titleOn the Aubry-Mather theory for symbolic dynamicspt_BR
dc.typeArtigo de periódicopt_BR
dc.identifier.nrb000636667pt_BR
dc.type.originEstrangeiropt_BR


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