The full renormalization horseshoe for multimodal maps

2021/02/24 by Wang, Yimin
#37E05 37E20 37F25 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2102.12268

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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