Rigidity for piecewise smooth homeomorphisms on the circle
Dynamical Systems
2015-06-03 v3
Abstract
We find conditions for two piecewise C^{2+\nu} homeomorphisms f and g of the circle to be C^1 conjugate. Besides the restrictions on the combinatorics of the maps (we assume that the maps have bounded combinatorics), and necessary conditions on the one-side derivatives of points where f and g are not differentiable, we also assume zero mean nonlinearity for f and g.
Cite
@article{arxiv.1201.1401,
title = {Rigidity for piecewise smooth homeomorphisms on the circle},
author = {Kleyber Cunha and Daniel Smania},
journal= {arXiv preprint arXiv:1201.1401},
year = {2015}
}
Comments
40 pages