English

Renormalization of unicritical analytic circle maps

Dynamical Systems 2016-12-26 v3

Abstract

In this paper we generalize renormalization theory for analytic critical circle maps with a cubic critical point to the case of maps with an arbitrary odd critical exponent by proving a quasiconformal rigidity statement for renormalizations of such maps.

Keywords

Cite

@article{arxiv.1609.07524,
  title  = {Renormalization of unicritical analytic circle maps},
  author = {Michael Yampolsky},
  journal= {arXiv preprint arXiv:1609.07524},
  year   = {2016}
}

Comments

arXiv admin note: text overlap with arXiv:math/0501448

R2 v1 2026-06-22T15:59:43.632Z