Paper: Aug 30,2015
math.DS
ID:1508.07489
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 are not invertible necessarily. Adopting 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 on the rate of
exponential decay of fiber correlations associated to the measures as the noise
level goes to zero.
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Paper Author: Yushi Nakano
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