English

Rigidity of critical circle mappings, II

Dynamical Systems 2009-09-25 v1

Abstract

We prove that any two real-analytic critical circle maps with cubic critical point and the same irrational rotation number of bounded type are C1+αC^{1+\alpha} conjugate for some α>0\alpha>0.

Keywords

Cite

@article{arxiv.math/9711215,
  title  = {Rigidity of critical circle mappings, II},
  author = {Edson de Faria and Welington de Melo},
  journal= {arXiv preprint arXiv:math/9711215},
  year   = {2009}
}
R2 v1 2026-07-22T17:57:09.602Z