English

Asymptotic rigidity of scaling ratios for critical circle mappings

Dynamical Systems 2008-02-03 v1

Abstract

In this paper we establish C2C^2 a-priori bounds for the scaling ratios of critical circle mappings in a form that gives also a compactness property for the renormalization operator.

Cite

@article{arxiv.math/9611216,
  title  = {Asymptotic rigidity of scaling ratios for critical circle mappings},
  author = {Edson de Faria},
  journal= {arXiv preprint arXiv:math/9611216},
  year   = {2008}
}