Coarse expanding conformal dynamics

By Peter Haissinsky, K. Pilgrim. Astérisque, 2006

61 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/496716e0a7d1be441acca29c2d8cfbe2e52bb4f5