Baladi V., Kondah A. , Schmitt B.
Random correlations for small perturbations of expanding maps
(65K, AMSTeX)
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.