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arXiv:1404.2308 [math.DS]AbstractReferencesReviewsResources

On the Hausdorff dimension of Newhouse phenomena

Pierre Berger, Jacopo De Simoi

Published 2014-04-08Version 1

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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