Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces

The study of geodesic flows on homogenous spaces is an area of research that has yielded some fascinating developments. This book, first published in 2000, focuses on many of these, and one of its highlights is an elementary and complete proof (due to Margulis and Dani) of Oppenheim''s conjecture. Also included here: an exposition of Ratner''s work on Raghunathan''s conjectures; a complete proof o...