$C^1$ Robust Rigidity for Bi-critical Circle Maps

Fuente: arXiv
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Main Author: Estevez, Gabriela
Format: Preprint
Published: 2025
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author Estevez, Gabriela
author_facet Estevez, Gabriela
contents We prove that two topologically conjugate bi-critical circle maps whose signatures are the same, and whose renormalizations converge together exponentially fast in the $C^2$-topology, are $C^1$ conjugate.
format Preprint
id arxiv_https___arxiv_org_abs_2501_06329
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle $C^1$ Robust Rigidity for Bi-critical Circle Maps
Estevez, Gabriela
Dynamical Systems
37E10, 37E20
We prove that two topologically conjugate bi-critical circle maps whose signatures are the same, and whose renormalizations converge together exponentially fast in the $C^2$-topology, are $C^1$ conjugate.
title $C^1$ Robust Rigidity for Bi-critical Circle Maps
topic Dynamical Systems
37E10, 37E20
url https://arxiv.org/abs/2501.06329