The ergodic theory of lattice subgroups / Alexander Gorodnik, Amos Nevo.

By:

Gorodnik, Alexander, 1975-

Contributor(s):

Nevo, Amos, 1966-

Material type: Text

TextSeries: Annals of mathematics studies ; no. 172.Publication details: Princeton : Princeton University Press, 2010.Description: 1 online resource (xiii, 120 pages)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781400831067
1400831067
1282303805
9781282303805

Subject(s): Genre/Form:

Additional physical formats: Print version:: Ergodic theory of lattice subgroups.DDC classification:

515/.48 22

LOC classification:

QA313 .G67 2010eb

Other classification:

SI 830

Online resources:

Click here to access online

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.

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Includes bibliographical references (pages 117-120) and index.

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.