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The full renormalization horseshoe for multimodal maps

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 Added by Yimin Wang
 Publication date 2021
  fields
and research's language is English
 Authors Yimin Wang




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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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