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Strong statistical stability of non-uniformly expanding maps

Jose F. Alves
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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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Jose F. Alves. 2003-11-25. Strong statistical stability of non-uniformly expanding maps. https://doi.org/10.1088/0951-7715%2F17%2F4%2F004

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