Equilibrium states for hyperbolic potentials

Ramos Vanessa; Viana Marcelo

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Equilibrium states for hyperbolic potentials

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摘要

We prove the existence of finitely many ergodic equilibrium states for local homeomorphisms and hyperbolic potentials. We also deal with partially hyperbolic skew-products over non-uniformly expanding maps with uniform contraction on the fibre. For these systems we prove the existence and finiteness of the equilibrium states associated with a class of Holder continuous potentials.

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来源
《Nonlinearity》 |2017年第2期|825-847|共23页
作者
Ramos Vanessa; Viana Marcelo;
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作者单位

Univ Fed Maranhao, Dept Matemat, Av Portugueses 1966, BR-65080805 Sao Luis, MA, Brazil;

Inst Nacl Matemat Pura & Aplicada IMPA, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, RJ, Brazil;

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正文语种英语
中图分类动力系统理论;
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dynamical systems and ergodic theory; equilibrium states; hyperbolic potentials;

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Equilibrium states for hyperbolic potentials

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