Random perturbations and statistical properties of Henon-like maps

• 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.

Nyckelord

dynamics

non-uniform hyperbolic

strange attractor

random perturbation

Henon map

stochastic stability

strange attractors

invariant-manifolds

flows

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