Volume: 109; 2008; 87 pp; Softcover
MSC: Primary 22; 37; 53; 57;
Print ISBN: 978-0-8218-0980-8
Product Code: CBMS/109
List Price: $34.00
Individual Price: $27.20
Electronic ISBN: 978-1-4704-1567-9
Product Code: CBMS/109.E
List Price: $32.00
AMS Member Price: $25.60
MAA Member Price: $28.80
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Supplemental Materials
Ergodic Theory, Groups, and Geometry
Share this pageRobert J. Zimmer; Dave Witte Morris
A co-publication of the AMS and CBMS
The study of group actions on manifolds is the meeting ground of a variety of mathematical areas. In particular, interesting geometric insights can be obtained by applying measure-theoretic techniques. This book provides an introduction to some of the important methods, major developments, and open problems in the subject. It is slightly expanded from lectures given by Zimmer at the CBMS conference at the University of Minnesota. The main text presents a perspective on the field as it was at that time. Comments at the end of each chapter provide selected suggestions for further reading, including references to recent developments.
A co-publication of the AMS and CBMS.
Readership
Graduate students and research mathematicians interested in ergodic theory.
Table of Contents
Table of Contents
Ergodic Theory, Groups, and Geometry
- Cover Cover11 free
- Title page iii5 free
- Contents v7 free
- Preface vii9 free
- Acknowledgments ix11 free
- Introduction 113 free
- Actions in dimension 1 or 2 921 free
- Geometric structures 1729
- Fundamental groups I 2537
- Gromov representation 3345
- Superrigidity and first applications 4153
- Fundamental groups II (Arithmetic theory) 4759
- Locally homogeneous spaces 5365
- Stationary measures and projective quotients 6173
- Orbit equivalence 6779
- Background material 7587
- Name index 8395
- Index 8597 free
- Back Cover Back Cover1103