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arXiv · 1712.06629

Stable sets of certain non-uniformly hyperbolic horseshoes have the expected dimension

Carlos Matheus·Jacob Palis·Jean-Christophe Yoccoz
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Abstract

We show that the stable and unstable sets of non-uniformly hyperbolic horseshoes arising in some heteroclinic bifurcations of surface diffeomorphisms have the value conjectured in a previous work by the second and third authors of the present paper. Our results apply to first heteroclinic bifurcations associated to horseshoes with Hausdorff dimension $<22/21$ of conservative surface diffeomorphisms.

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Carlos Matheus, Jacob Palis, Jean-Christophe Yoccoz. 2017-12-18. Stable sets of certain non-uniformly hyperbolic horseshoes have the expected dimension. https://arxiv.org/abs/1712.06629

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