Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899328 | Journal of Mathematical Analysis and Applications | 2018 | 26 Pages |
Abstract
We introduce a new induction scheme for non-uniformly expanding maps f of compact Riemannian manifolds, relying upon ideas of [33] and [10]. We use this induction approach to prove that the existence of a Gibbs-Markov-Young structure is a necessary condition for f to preserve an absolutely continuous probability with all its Lyapunov exponents positive.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Pedro L. Capett-Figueras, Fernando J. Sánchez-Salas,