Oseledec multiplicative ergodic theorem for laminations /

"Given a -dimensional lamination endowed with a Riemannian metric, we introduce the notion of a multiplicative cocycle of rank where and are arbitrary positive integers. The holonomy cocycle of a foliation and its exterior powers as well as its tensor powers provide examples of multiplicative c...

Full description

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Nguyên, Viêt-Anh, 1974- (Author)
Format: Government Document Electronic eBook
Language:Inglés
Published: Providence, Rhode Island : American Mathematical Society, 2017.
Series:Memoirs of the American Mathematical Society ; no. 1164.
Subjects:
Ergodic theory.
Topological spaces.
Measure theory.
Foliations (Mathematics)
Théorie ergodique.
Espaces topologiques.
Théorie de la mesure.
Feuilletages (Mathématiques)
Ergodic theory
Measure theory
Topological spaces
Online Access:Texto completo
Table of Contents:
  • Acknowledgement
  • Chapter 1. Introduction
  • Chapter 2. Background
  • Chapter 3. Statement of the main results
  • Chapter 4. Preparatory results
  • Chapter 5. Leafwise Lyapunov exponents
  • Chapter 6. Splitting subbundles
  • Chapter 7. Lyapunov forward filtrations
  • Chapter 8. Lyapunov backward filtrations
  • Chapter 9. Proof of the main results
  • Appendix A. Measure theory for sample-path spaces
  • Appendix B. Harmonic measure theory and ergodic theory for sample-path spaces.

Similar Items