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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 conjectur...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, U.K. ; New York :
Cambridge University Press,
2000.
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| Colección: | London Mathematical Society lecture note series ;
269. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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 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; Ledrappier's example of a mixing action which is not a mixing of all orders. The treatment is as self-contained and elementary as possible. It should appeal to graduate students and researchers interested in dynamical systems, harmonic analysis, differential geometry, Lie theory and number theory. |
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| Descripción Física: | 1 online resource (x, 200 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 189-197) and index. |
| ISBN: | 9781107089273 1107089271 9780511758898 0511758898 9781107101104 1107101107 9781107095502 1107095506 1299748945 9781299748941 1139885561 9781139885560 1107092256 9781107092259 1107103592 9781107103597 |