Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces

The study of geodesic flows on homogeneous spaces is an area of research that has recently yielded some fascinating developments. This book focuses on many of these, with one of its highlights an elementary and complete proof by Margulis and Dani of Oppenheim's conjecture. Other features are self-contained treatments of an exposition of Ratner's work on Raghunathan's conjectures; a complete proof of the Howe-Moore vanishing theorem for general semisimple Lie groups; a new treatment of Mautner's result on the geodesic flow of a Riemannian symmetric space; Mozes' result about mixing of all orders and the asymptotic distribution of lattice points in the hyperbolic plane; and Ledrappier's example of a mixing action which is not a mixing of all orders.

Author: M. Bachir Bekka, Matthias Mayer
Publisher: Cambridge University Press
Published: 05/11/2000
Pages: 212
Binding Type: Paperback
Weight: 0.70lbs
Size: 9.00h x 6.00w x 0.48d
ISBN: 9780521660303

Review Citation(s):
Scitech Book News 12/01/2001 pg. 45