Equilibrium States for Random Non-uniformly Expanding Maps

Krerley Oliveira | Arbieto, Alexander | Matheus, Carlos

Keywords: Random dynamical systems | equilibrium states | non-uniformly expansion

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.

Anexos:

• equilibrium.ps