Strong statistical stability of non-uniformly expanding maps

Details Strong statistical stability of non-uniformly expanding maps Strong statistical stability of non-uniformly expanding maps

2003-11-25

arxiv.org/abs/math/0311439v1

Mathematics

Dynamical Systems

21 pages

Scientific paper

10.1088/0951-7715/17/4/004

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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