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arXiv · 1702.08878

Yet another induction scheme for non-uniformly expanding transformations

Pedro L. Capett-Figueras·Fernando J. Sánchez-Salas
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Abstract

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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Pedro L. Capett-Figueras, Fernando J. Sánchez-Salas. 2017-02-28. Yet another induction scheme for non-uniformly expanding transformations. https://arxiv.org/abs/1702.08878

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