Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces pdf epub mobi txt 電子書下載 2024

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Bekka, M. Bachir; Mayer, Matthias;

2000-8

210

$ 90.40

London Mathematical Society Lecture Note Series

9780521660303

圖書標籤: 動力係統數學 systems dynamical

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发表于2024-12-25

Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces pdf epub mobi txt 電子書下載 2024

圖書描述

The study of geodesic flows on homogenous spaces is an area of research that has in recent years yielded some fascinating developments. This book 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.

Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces 下載 mobi epub pdf txt 電子書