Diophantine Approximation And The Geometry Of Limit Sets In Gromov Hyperbolic Metric Spaces

Provides a complete theory of Diophantine approximation in the limit set of a group acting on a Gromov hyperbolic metric space. This summarizes and completes a long line of results by many authors, from Patterson's 1976 paper to more recent results of Hersonsky and Paulin. The authors consider concrete examples of situations which have not been considered before.