Preprint A201/2003
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.