TY  - BOOK
AU  - Das,Tushar
AU  - Simmons,David
AU  - Urbański,Mariusz
TI  - Geometry and dynamics in Gromov hyperbolic metric spaces: with an emphasis on non-proper settings 
T2  - Mathematical surveys and monographs
SN  - 9781470434656 (alk. paper)
U1  - 510MS 23
PY  - 2017///
CY  - Providence : 
PB  - American Mathematical Society
KW  - Hyperbolic geometry
KW  - Hyperbolic spaces
KW  - Metric spaces
N1  - Includes bibliographical references and index; 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
N2  - Presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the geometry of their limit sets and on behaviour not found in the proper setting. The authors provide a number of examples of groups which exhibit a wide range of phenomena not to be found in the finite-dimensional theory
ER  -