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arXiv · 2007.06243

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

Zeya Mi
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Abstract

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

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Zeya Mi. 2020-07-13. Stochastic stability for partially hyperbolic diffeomorphisms with mostly expanding and contracting centers. https://arxiv.org/abs/2007.06243

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