Geometry and dynamics in Gromov hyperbolic metric spaces : with an emphasis on non-proper settings /
xxxv, 281 pages : illustrations ; 27 cm. - (Mathematical surveys and monographs ; v 218.) Content notes : 1. Introduction and overview --
Part 1. Preliminaries.
2. Algebraic hyperbolic spaces --
3. R-trees, CAT( -1) spaces, and Gromov hyperbolic metric spaces --
4. More about the geometry of hyperbolic metric spaces --
5. Discreteness --
6. Classification of isometries and semigroups --
7. Limit sets --
Part 2. The Bishop-Jones theorem.
8. The modified Poincare exponent --
9. Generalization of the Bishop-Jones theorem --
Part 3. Examples.
10. Schottky products --
11. Parabolic groups --
12.Geometrically finite and convex-cobounded groups --
13. Counterexamples --
14. R-trees and their isometry groups --
Part 4. Patterson-Sullivan theory.
15. Conformal and quasiconformal measures --
16. Patterson-Sullivan theorem for groups of divergence type --
17. Quasiconformal measures of geometrically finite groups. Hyperbolic spaces. Metric spaces. Urbański, Mariusz.
