most citedAdapted random perturbations for non-uniformly expanding maps

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math.DS2013★ 4 cited

Adapted random perturbations for non-uniformly expanding maps

Vitor Araujo, Maria Jose Pacifico, Mariana Pinheiro

We obtain stochastic stability of C2 non-uniformly expanding one-dimensional endomorphisms, requiring only that the first hyperbolic time map be L^{p}-integrable for p>3. We show t…