95-467 Baladi V., Kondah A. , Schmitt B.

Random correlations for small perturbations of expanding maps (65K, AMSTeX) Oct 24, 95

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Abstract. We consider random compositions of C^k expanding maps which are C^k-close to a given C^k expanding map (k > 1) and not necessarily i.i.d. We study the random correlation functions associated to the unique absolutely continuous stationary measures and smooth test functions. We show C^(k-1) stability of the densities of the disintegrated measures, and good uniform bounds on the exponential rate of decay of random correlations as the smooth error level goes to zero. To do this, we let the associated random transfer operators act on suitable cones of positive functions endowed with a Hilbert projective metric.

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