The full renormalization horseshoe for multimodal maps

Published 24 Feb 2021 in math.DS | (2102.12268v1)

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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Authors (1)

Yimin Wang

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