Coarse expanding conformal dynamics
Dynamical Systems
2010-11-02 v2
Abstract
Building on the dictionary between Kleinian groups and rational maps, we establish new connections between the theories of hyperbolic groups and certain iterated maps, regarded as dynamical systems. In order to make the exposition self-contained to researchers in many fields, we include detailed proofs and ample background.
Cite
@article{arxiv.math/0612617,
title = {Coarse expanding conformal dynamics},
author = {Peter Haïssinsky and Kevin M. Pilgrim},
journal= {arXiv preprint arXiv:math/0612617},
year = {2010}
}
Comments
Revised and corrected version