000			02193cam a2200289 i 4500
001			138304
003			ISI Library, Kolkata
005			20230720020004.0
008			160804t20172017riua b 001 0 eng
020			_a9781470434656 (alk. paper)
040			_aISI Library
082	0	4	_a510MS _223 _bAm512
100	1		_aDas, Tushar, _eauthor
245	1	0	_aGeometry and dynamics in Gromov hyperbolic metric spaces : _bwith an emphasis on non-proper settings / _cTushar Das, David Simmons and Mariusz Urbanski.
260			_aProvidence : _bAmerican Mathematical Society, _c©2017.
300			_axxxv, 281 pages : _billustrations ; _c27 cm.
490	0		_aMathematical surveys and monographs ; _vv 218.
504			_aIncludes bibliographical references and index.
505	0		_a1. 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.
520			_aPresents 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.
650		0	_aHyperbolic geometry.
650		0	_aHyperbolic spaces.
650		0	_aMetric spaces.
700	1		_aSimmons, David, _eauthor
700	1		_aUrbański, Mariusz. _eauthor
942			_2ddc _cBK _02
999			_c424429 _d424429