The ergodic theory of lattice subgroups /
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| Author / Creator: | Gorodnik, Alexander, 1975- |
|---|---|
| Imprint: | Princeton : Princeton University Press, 2010. |
| Description: | 1 online resource (xiii, 120 pages) |
| Language: | English |
| Series: | Annals of mathematics studies ; no. 172 Annals of mathematics studies ; no. 172. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11282549 |
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| 100 | 1 | |a Gorodnik, Alexander, |d 1975- |0 http://id.loc.gov/authorities/names/n2009006491 | |
| 245 | 1 | 4 | |a The ergodic theory of lattice subgroups / |c Alexander Gorodnik, Amos Nevo. |
| 260 | |a Princeton : |b Princeton University Press, |c 2010. | ||
| 300 | |a 1 online resource (xiii, 120 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Annals of mathematics studies ; |v no. 172 | |
| 504 | |a Includes bibliographical references (pages 117-120) and index. | ||
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a In English. | ||
| 650 | 0 | |a Ergodic theory. |0 http://id.loc.gov/authorities/subjects/sh85044600 | |
| 650 | 0 | |a Lie groups. |0 http://id.loc.gov/authorities/subjects/sh85076786 | |
| 650 | 0 | |a Lattice theory. |0 http://id.loc.gov/authorities/subjects/sh85074991 | |
| 650 | 0 | |a Harmonic analysis. |0 http://id.loc.gov/authorities/subjects/sh85058939 | |
| 650 | 0 | |a Dynamics. |0 http://id.loc.gov/authorities/subjects/sh85040316 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Group Theory. |2 bisacsh | |
| 650 | 7 | |a Dynamics. |2 fast |0 (OCoLC)fst00900295 | |
| 650 | 7 | |a Ergodic theory. |2 fast |0 (OCoLC)fst00914656 | |
| 650 | 7 | |a Harmonic analysis. |2 fast |0 (OCoLC)fst00951490 | |
| 650 | 7 | |a Lattice theory. |2 fast |0 (OCoLC)fst00993426 | |
| 650 | 7 | |a Lie groups. |2 fast |0 (OCoLC)fst00998135 | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Nevo, Amos, |d 1966- |0 http://id.loc.gov/authorities/names/n2009006495 | |
| 776 | 0 | 8 | |i Print version: |a Gorodnik, Alexander, 1975- |t Ergodic theory of lattice subgroups. |d Princeton, N.J. : Princeton University Press, 2010 |z 9780691141848 |w (DLC) 2009003729 |w (OCoLC)301705885 |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 172. |0 http://id.loc.gov/authorities/names/n42002129 | |
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| 928 | |t Library of Congress classification |a QA313 .G67 2010eb |l Online |c UC-FullText |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=e000xna&AN=295569 |z eBooks on EBSCOhost |g ebooks |i 12273801 | ||