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arXiv:1603.06300 [math.DS]AbstractReferencesReviewsResources

Solenoidal attractors with bounded combinatorics are shy

Daniel Smania

Published 2016-03-21Version 1

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.

Comments: 44 pages, 3 figures
Categories: math.DS
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