ENGLISH

Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces

By M. Bachir Bekka , Matthias Mayer

Book information

Publisher
Cambridge University Press
Year
2000
ISBN
0521660300, 9780521660303
Open Library ID
OL6899442M
Language
english
Format
DJVU
Filesize
1 MB (1422230 bytes)
Series
London Mathematical Society Lecture Note Series
Pages
209\209
Time added
2011-01-06 10:13:16

Description

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.

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