Mathematical Surveys and Monographs

1 total work

Geometry and Dynamics in Gromov Hyperbolic Metric Spaces

by Tushar Das, David Simmons, and Mariusz Urbanski

Published 1 November 2016

This book 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 behavior 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. The book contains both introductory material to help beginners as well as new research results, and closes with a list of attractive unsolved problems.