The Ergodic Theory of Lattice Subgroups (AM-172) /

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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Bibliographic Details
Main Author: Gorodnik, Alexander, 1975-
Other Authors: Nevo, Amos, 1966-
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, 2010.
Series:Book collections on Project MUSE.
Subjects:
Lie groups.
Lattice theory.
Harmonic analysis.
Ergodic theory.
Dynamics.
MATHEMATICS > Group Theory.
MATHEMATICS > Mathematical Analysis.
MATHEMATICS > Calculus.
kinetics (dynamics)
Dynamique.
Analyse harmonique.
Theorie des treillis.
Groupes de Lie.
Theorie ergodique.
Electronic books.
Online Access:Texto completo
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.

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