Unimodal generalized pseudo-Anosov maps
Dynamical Systems
2014-11-11 v2 Geometric Topology
Abstract
An infinite family of generalized pseudo-Anosov homeomorphisms of the sphere S is constructed, and their invariant foliations and singular orbits are described explicitly by means of generalized train tracks. The complex strucure induced by the invariant foliations is described, and is shown to make S into a complex sphere. The generalized pseudo-Anosovs thus become quasiconformal automorphisms of the Riemann sphere, providing a complexification of the unimodal family which differs from that of the Fatou/Julia theory.
Cite
@article{arxiv.math/0307211,
title = {Unimodal generalized pseudo-Anosov maps},
author = {Andre de Carvalho and Toby Hall},
journal= {arXiv preprint arXiv:math/0307211},
year = {2014}
}
Comments
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper31.abs.html