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arXiv · 1603.06300

Solenoidal attractors with bounded combinatorics are shy

Daniel Smania
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Abstract

We show that in a generic finite-dimensional real-analytic family of real-analytic multimodal maps, the subset of parameters on which the corresponding map has a solenoidal attractor with bounded combinatorics is a set with zero Lebesgue measure.

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Daniel Smania. 2019-07-09. Solenoidal attractors with bounded combinatorics are shy. https://doi.org/10.4007/annals.2020.191.1.1

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