Strong statistical stability of non-uniformly expanding maps
Jose F. Alves
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 L1-norm) of the densities of absolutely continuous (with respect to the Lebesgue measure) invariant probability measures for those transformations.
Create a lesson
Related papers
ω-limit sets of triangular maps over periodic orbits of the base
Juan Luis García Guirao
The full Kolakoski shift is topologically transitive
Andrew C. Mitchell, James J. Walton, Michael F. Whittaker
Delay-induced multirhythmicity in a 3-cell inhibitory network
Xinxin Qie, Morten Gram Pedersen, Jian Song et al.
Natural Expansiveness and Equilibrium States for Semiflows
Nelda Tamblay, Juan Francisco Peña
Largest-Angle Bisection and Statistical Regularization of Triangle Shapes
Jérôme Michaud
Planar Central Configurations of Four Equal Masses: Classification and Morse Indices
Xiaoxiang Huangfu, Huatong Shen