Coarse expanding conformal dynamics

Details Coarse expanding conformal dynamics Coarse expanding conformal dynamics

2006-12-20

arxiv.org/abs/math/0612617v2

Asterisque 325 (2009) viii+139 pp. ISBN: 978-2-85629-266-2

Mathematics

Dynamical Systems

Revised and corrected version

Scientific paper

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.

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