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arXiv · 1404.2308

On the Hausdorff dimension of Newhouse phenomena

Pierre Berger·Jacopo De Simoi
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Abstract

We show that at the vicinity of a generic dissipative homoclinic unfolding of a surface diffeomorphism, the Hausdorff dimension of the set of parameters for which the diffeomorphism admits infinitely many periodic sinks is at least 1/2.

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Pierre Berger, Jacopo De Simoi. 2014-04-08. On the Hausdorff dimension of Newhouse phenomena. https://arxiv.org/abs/1404.2308

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