Stochastic stability for partially hyperbolic diffeomorphisms with mostly expanding and contracting centers

Zeya Mi

paper

Stochastic stability for partially hyperbolic diffeomorphisms with mostly expanding and contracting centers

arXiv:2007.06243

Abstract

We prove the stochastic stability of an open class of partially hyperbolic diffeomorphisms, each of which admits two centers $E_{1}^{c}$ and $E_{2}^{c}$ such that any Gibbs $u$ -state admits only positive (resp. negative) Lyapunov exponents along $E_{1}^{c}$ (resp. $E_{2}^{c}$ ).