Yet another induction scheme for non-uniformly expanding transformations
Capett-Figueras, Pedro L. · Sánchez-Salas, Fernando J.
Original · EN
We introduce a new induction scheme for non-uniformly expanding maps f of compact Riemannian manifolds, proving 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.
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