On the Aubry-Mather theory for symbolic dynamics
dc.contributor.author | Garibaldi, Eduardo | pt_BR |
dc.contributor.author | Lopes, Artur Oscar | pt_BR |
dc.date.accessioned | 2011-01-15T05:59:01Z | pt_BR |
dc.date.issued | 2008 | pt_BR |
dc.identifier.issn | 0143-3857 | pt_BR |
dc.identifier.uri | http://hdl.handle.net/10183/27440 | pt_BR |
dc.description.abstract | We 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.mimetype | application/pdf | pt_BR |
dc.language.iso | eng | pt_BR |
dc.relation.ispartof | Ergodic theory and dynamical systems. Cambrige. Vol. 28, no. 4 (June 2008), p. 791-815. | pt_BR |
dc.rights | Open Access | en |
dc.subject | Otimização ergódica | pt_BR |
dc.subject | Sistemas dinamicos : Ergodicidade : Topologia | pt_BR |
dc.title | On the Aubry-Mather theory for symbolic dynamics | pt_BR |
dc.type | Artigo de periódico | pt_BR |
dc.identifier.nrb | 000636667 | pt_BR |
dc.type.origin | Estrangeiro | pt_BR |
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