Coarse expanding conformal dynamics
Copyright policy )Coarse expanding conformal dynamics
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.
Revised and corrected version
- Indiana University United States
- Aix-Marseille University France
- DePaul University United States
- French National Centre for Scientific Research France
- Indiana University United States
Kleinian group, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Dynamical Systems (math.DS), quasisymmetric map, conformal gauge, rational map, Gromov hyperbolic, FOS: Mathematics, analysis on metric spaces, Primary 53C23, Secondary 30C65, 37B99, 37D20, 37F15, 37F20, 37F30, 54E40, Mathematics - Dynamical Systems, entropy, dictionary
Kleinian group, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Dynamical Systems (math.DS), quasisymmetric map, conformal gauge, rational map, Gromov hyperbolic, FOS: Mathematics, analysis on metric spaces, Primary 53C23, Secondary 30C65, 37B99, 37D20, 37F15, 37F20, 37F30, 54E40, Mathematics - Dynamical Systems, entropy, dictionary
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