- 95-3 Baladi V., Viana M.
- Strong stochastic stability and rate of mixing for unimodal maps
(120K, AMS TeX)
Jan 5, 95
(auto. generated ps),
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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.