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Strong statistical stability of non-uniformly expanding maps
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math.DS
keywords
continuousexpandingnon-uniformlytransformationsabsolutelybehaviorconditionsconsider
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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 $L^1$-norm) of the densities of absolutely continuous (with respect to the Lebesgue measure) invariant probability measures for those transformations.
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