Strong statistical stability of non-uniformly expanding maps
arXiv:math/0311439 · doi:10.1088/0951-7715/17/4/004
Abstract
We consider families of transformations in multidimensional Riemannian manifolds with non-uniformly expanding behavior. We give sufficient conditions for the continuous variation (in the -norm) of the densities of absolutely continuous (with respect to the Lebesgue measure) invariant probability measures for those transformations.
21 pages
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