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arXiv · 1901.09430

Strong regularity

Pierre Berger·Jean-Christophe Yoccoz
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Abstract

This is an introduction of a book called "strong regularity", to appear at Ast\'erisque, containing: 1) Yoccoz' proof of Jakobson theorem www.college-de-france.fr/media/jean-christophe-yoccoz/UPL7416254474776698194_Jakobson_jcy.pdf 2) Berger's proof of the abundance of non-uniformly hyperbolic H\'enon like endomorphisms arxiv.org/abs/0903.1473 It gives an overview of the main examples and conjectures of non-uniformly hyperbolic set for low dimensional dynamical systems. It compares the proofs of parameter selections based on the concept of binding with those based on the one of strong regularity.

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Pierre Berger, Jean-Christophe Yoccoz. 2019-01-27. Strong regularity. https://arxiv.org/abs/1901.09430

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