On stochastic stability of non-uniformly expanding interval maps

Abstract

We study the expanding properties of random perturbations of regular interval maps satisfying the summability condition of exponent one. Under very general conditions on the interval maps and perturbation types, we prove strong stochastic stability.

minor corrections

References in corpus (5)

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Cited by in corpus (6)

• Summability implies Collet-Eckmann almost surely
• How does noise induce order?
• Stochastic Shadowing and Stochastic Stability
• Adapted random perturbations for non-uniformly expanding maps
• On stochastic stability of expanding circle maps with neutral fixed points
• Quenched decay of correlations for random contracting Lorenz maps