Ergodic theory and topological dynamics of group actions on homogeneous spaces / (Record no. 518106)
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| fixed length control field | 03739nam a22003858i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511758898 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160236.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
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| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 100430s2000||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511758898 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521660303 (paperback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA611.5 |
| Item number | .B42 2000 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.42 |
| Edition number | 21 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bekka, M. Bachir, |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Ergodic theory and topological dynamics of group actions on homogeneous spaces / |
| Statement of responsibility, etc | M. Bachir Bekka, Matthias Mayer. |
| 246 3# - VARYING FORM OF TITLE | |
| Title proper/short title | Ergodic Theory & Topological Dynamics of Group Actions on Homogeneous Spaces |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2000. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (x, 200 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | London Mathematical Society lecture note series ; |
| Volume number/sequential designation | 269 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | Ergodic Systems -- |
| -- | Examples and Basic Results -- |
| -- | Ergodic Theory and Unitary Representations -- |
| -- | Invariant Measures and Unique Ergodicity -- |
| -- | The Geodesic Flow of Riemannian Locally Symmetric Spaces -- |
| -- | Some Hyperbolic Geometry -- |
| -- | Lattices and Fundamental Domains -- |
| -- | The Geodesic Flow of Compact Riemann Surfaces -- |
| -- | The Geodesic Flow on Riemannian Locally Symmetric Spaces -- |
| -- | The Vanishing Theorem of Howe and Moore -- |
| -- | Howe--Moore's Theorem -- |
| -- | Moore's Ergodicity Theorems -- |
| -- | Counting Lattice Points in the Hyperbolic Plane -- |
| -- | Mixing of All Orders -- |
| -- | The Horocycle Flow -- |
| -- | The Horocycle Flow of a Riemann Surface -- |
| -- | Proof of Hedlund's Theorem--Cocompact Case -- |
| -- | Classification of Invariant Measures -- |
| -- | Equidistribution of Horocycle Orbits -- |
| -- | Siegel Sets, Mahler's Criterion and Margulis' Lemma -- |
| -- | Siegel Sets in SL(n, R) -- |
| -- | SL(n, Z) is a lattice in SL(n, R) -- |
| -- | Mahler's Criterion -- |
| -- | Reduction of Positive Definite Quadratic Forms -- |
| -- | Margulis' Lemma -- |
| -- | An Application to Number Theory: Oppenheim's Conjecture -- |
| -- | Oppenheim's Conjecture -- |
| -- | Proof of the Theorem--Preliminaries -- |
| -- | Existence of Minimal Closed Subsets -- |
| -- | Orbits of One-Parameter Groups of Unipotent Linear Transformations -- |
| -- | Proof of the Theorem--Conclusion -- |
| -- | Ratner's Results on the Conjectures of Raghunathan, Dani and Margulis. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The study of geodesic flows on homogenous spaces is an area of research that has yielded some fascinating developments. This book, first published in 2000, 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Ergodic theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Topological dynamics. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Mayer, Matthias |
| Titles and other words associated with a name | (Mathematician), |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521660303 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | London Mathematical Society lecture note series ; |
| Volume number/sequential designation | 269. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511758898">https://doi.org/10.1017/CBO9780511758898</a> |
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