STOCHASTIC STABILITY FOR FIBER EXPANDING MAPS VIA A PERTURBATIVE SPECTRAL APPROACH
STOCHASTIC STABILITY FOR FIBER EXPANDING MAPS VIA A PERTURBATIVE SPECTRAL APPROACH
We consider small perturbations of expanding maps induced by skew-product mappings whose base dynamics need not be mixing or invertible. Adapting a previously developed perturbative spectral approach, we show stability of the densities of the unique absolutely continuous invariant probability measures for expanding maps under these perturbations, and upper bounds …