Adapted random perturbations for non-uniformly expanding maps
Adapted random perturbations for non-uniformly expanding maps
We obtain stochastic stability of C 2 non-uniformly expanding one-dimensional endomorphisms, requiring only that the first hyperbolic time map be L p -integrable for p > 3. We show that, under this condition (which depends only on the unperturbed dynamics), we can construct a random perturbation that preserves the original …