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Solenoidal attractors with bounded combinatorics are shy
Daniel Smania
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Source: Crossref
Published: Jan 1, 2020
DOI: 10.4007/annals.2020.191.1.1
Open original source ↗Source 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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