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