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Equilibrium States for Random Non-uniformly Expanding Maps

Alexander Arbieto·Carlos Matheus·Krerley Oliveira
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Abstract

We show that, for a robust ($C^2$-open) class of random non-uniformly expanding maps, there exists equilibrium states for a large class of potentials.In particular, these sytems have measures of maximal entropy. These results also give a partial answer to a question posed by Liu-Zhao. The proof of the main result uses an extension of techniques in recent works by Alves-Araújo, Alves-Bonatti-Viana and Oliveira.

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Alexander Arbieto, Carlos Matheus, Krerley Oliveira. 2003-07-04. Equilibrium States for Random Non-uniformly Expanding Maps. https://doi.org/10.1088/0951-7715%2F17%2F2%2F013

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