Uniqueness and Stability of Equilibrium States for Random Non-uniformly Expanding Maps
Dynamical Systems
2020-07-23 v1
Abstract
We consider a robust class of random non-uniformly expanding local homeomorphisms and H\"older continuous potentials with small variation. For each element of this class we develop the Thermodynamical Formalism and prove the existence and uniqueness of equilibrium states among non-uniformly expanding measures. Moreover, we show that these equilibrium states and the random topological pressure vary continuously in this setting.
Keywords
Cite
@article{arxiv.2007.11076,
title = {Uniqueness and Stability of Equilibrium States for Random Non-uniformly Expanding Maps},
author = {Rafael Bilbao and Vanessa Ramos},
journal= {arXiv preprint arXiv:2007.11076},
year = {2020}
}