2006/12/31 by Peter Haïssinsky, Kevin M. Pilgrim
Mathematics · #math.DS #msc:53C23 #msc:30C65 #msc:37B99 #msc:37D20 #msc:37F15 #msc:37F20 #msc:37F30 #msc:54E40
published as Asterisque 325 (2009) viii+139 pp. ISBN: 978-2-85629-266-2 · Revised and corrected version
arxiv created 2009/11/23 · arxiv updated 2010/11/02
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.