Renormalization for piecewise smooth homeomorphisms on the circle
Dynamical Systems
2012-09-19 v2
Abstract
In this work we study the renormalization operator acting on piecewise smooth homeomorphisms on the circle, that turns out to be essentially the study of Rauzy-Veech renormalizations of generalized interval exchanges maps with genus one. In particular we show that renormalizations of such maps with zero mean nonlinearity and satisfying certain smoothness and combinatorial assumptions converges to the set of piecewise affine interval exchange maps.
Cite
@article{arxiv.1108.1968,
title = {Renormalization for piecewise smooth homeomorphisms on the circle},
author = {Kleyber Cunha and Daniel Smania},
journal= {arXiv preprint arXiv:1108.1968},
year = {2012}
}
Comments
34 pages