| Autor: |
Morro, Marcus, Sant'Anna, Roberto, Varandas, Paulo |
| Předmět: |
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| Zdroj: |
Annales Henri Poincaré; Oct2020, Vol. 21 Issue 10, p3253-3283, 31p |
| Abstrakt: |
In this article we consider the ergodic optimization for hyperbolic flows and Lorenz attractors with respect to both continuous and Hölder continuous observables. In the context of hyperbolic flows we prove that a Baire generic subset of continuous observables have a unique maximizing measure, with full support and zero entropy, and that a Baire generic subset of Hölder continuous observables admit a unique and periodic maximizing measure. These results rely on a relation between ergodic optimization for suspension semiflows and ergodic optimization for the Poincaré map with respect to induced observables, which allow us to reduce the problem for the context of maps. Using that singular-hyperbolic attractors are approximated by hyperbolic sets, we obtain related results for geometric Lorenz attractors. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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