The full renormalization horseshoe for multimodal maps

Yimin Wang

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arXiv · 2102.12268

The full renormalization horseshoe for multimodal maps

Yimin Wang

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Abstract

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.

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Yimin Wang. 2021-02-24. The full renormalization horseshoe for multimodal maps. https://arxiv.org/abs/2102.12268

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