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arXiv:2102.12268 [math.DS]AbstractReferencesReviewsResources

The full renormalization horseshoe for multimodal maps

Yimin Wang

Published 2021-02-24Version 1

In this paper, we consider the renormalization operator $\mathcal R$ for multimodal maps. We prove the renormalization operator $\mathcal R$ is a self-homeomorphism on any totally $\mathcal R$-invariant set. As a corollary, we prove the existence of the full renormalization horseshoe for multimodal maps.

Categories: math.DS
Subjects: 37E05, 37E20, 37F25
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