| 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.
|
|
Dynamics.
|
| 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.) |
|
1282303805 |
|
9781282303805 |
|
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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