95-3 Baladi V., Viana M.

Strong stochastic stability and rate of mixing for unimodal maps (120K, AMS TeX) Jan 5, 95

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Abstract. We consider small random perturbations of a large class of nonuniformly hyperbolic unimodal maps and prove stochastic stability in the strong sense (L^1-convergence of invariant densities) and uniform bounds for the exponential rate of decay of correlations. Our method is based on an analysis of the spectrum of a modified Perron-Frobenius operator for a tower extension of the Markov chain.

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