English

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

Dynamical Systems 2025-03-19 v2

Abstract

We prove that two topologically conjugate bi-critical circle maps whose signatures are the same, and whose renormalizations converge together exponentially fast in the C2C^2-topology, are C1C^1 conjugate.

Keywords

Cite

@article{arxiv.2501.06329,
  title  = {$C^1$ Robust Rigidity for Bi-critical Circle Maps},
  author = {Gabriela Estevez},
  journal= {arXiv preprint arXiv:2501.06329},
  year   = {2025}
}

Comments

28 pages, 3 figures

R2 v1 2026-06-28T21:03:09.575Z