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Author Gorodnik, Alexander, 1975-
Title The ergodic theory of lattice subgroups / Alexander Gorodnik, Amos Nevo.
Imprint Princeton : Princeton University Press, 2010.

Author Gorodnik, Alexander, 1975-
Series Annals of mathematics studies ; no. 172
Annals of mathematics studies ; no. 172.
Subject Ergodic theory.
Lie groups.
Lattice theory.
Harmonic analysis.
Alt Name Nevo, Amos, 1966-
Description 1 online resource (xiii, 120 pages)
Bibliography Note Includes bibliographical references (pages 117-120) and index.
Contents Cover; Title; Copyright; Contents; Preface; Chapter 1. Main results: Semisimple Lie groups case; Chapter 2. Examples and applications; Chapter 3. Definitions, preliminaries, and basic tools; Chapter 4. Main results and an overview of the proofs; Chapter 5. Proof of ergodic theorems for S-algebraic groups; Chapter 6. Proof of ergodic theorems for lattice subgroups; Chapter 7. Volume estimates and volume regularity; Chapter 8. Comments and complements; Bibliography; Index.
Summary The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope. Traditional ergodic theorems focused on amenable groups, and relied on the existence of an asymptotically invariant sequence in the group, the resulting maximal inequalities based on covering arguments, and the transference principle. Here, Alexander Gorodnik and Amos Nevo develop a systematic general approach to the proof of ergodic theorems for a large class of non-amenable locally compact groups and their lattice subgroups. Simple general conditions on the spectral the.
Note Print version record.
In English.
ISBN 9781400831067 (electronic bk.)
1400831067 (electronic bk.)
9780691141848 (hardcover)
0691141843 (hardcover)
9780691141855 (pbk.)
0691141851 (pbk.)
ISBN/ISSN 10.1515/9781400831067
OCLC # 507428541
Additional Format Print version: Gorodnik, Alexander, 1975- Ergodic theory of lattice subgroups. Princeton, N.J. : Princeton University Press, 2010 9780691141848 (DLC) 2009003729 (OCoLC)301705885

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