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

preprint2020arXivOpen access

Abstract

We prove the stochastic stability of an open class of partially hyperbolic diffeomorphisms, each of which admits two centers E1cE^c_1 and E2cE^c_2 such that any Gibbs uu-state admits only positive (resp. negative) Lyapunov exponents along E1cE^c_1 (resp. E2cE^c_2).

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