Random perturbations and statistical properties of Hénon-like maps

Marcelo Viana | Benedicks, Michael

Keywords: random perturbations | SRB measures | Markov chain | stochastic stability

For a large class of non-uniformly hyperbolic diffeomorphisms, we prove stochastic stability under small random noise: the unique stationary probability measure of the Markov chain converges to the Sinai-Ruelle-Bowen measure of the unperturbed attractor when the noise level tends to zero.

Anexos:

• random.ps