The ergodic theory of lattice subgroups / Alexander Gorodnik, Amos Nevo.
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 ba...
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Full Text (via ProQuest) |
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| Format: | eBook |
| Language: | English |
| Published: |
Princeton :
Princeton University Press,
2010.
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| Series: | Annals of mathematics studies ;
no. 172. |
| Subjects: |
Table of 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.