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

Zeya Mi

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

Dynamical Systems 2020-07-14 v1

Authors: Zeya Mi

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. $E^c_2$ ).

Keywords

partially hyperbolic dynamics stability theory

Cite

@article{arxiv.2007.06243,
  title  = {Stochastic stability for partially hyperbolic diffeomorphisms with mostly expanding and contracting centers},
  author = {Zeya Mi},
  journal= {arXiv preprint arXiv:2007.06243},
  year   = {2020}
}

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