Smooth Ergodic Theory for Endomorphisms

This volume presents a general smooth ergodic theory for deterministic dynamical systems generated by non-invertible endomorphisms, mainly concerning the relations between entropy, Lyapunov exponents and dimensions. The authors make extensive use of the combination of the inverse limit space techniq...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Qian, Min (Auteur), Xie, Jian-Sheng (Auteur), Zhu, Shu (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Édition:1st ed. 2009.
Collection:Lecture Notes in Mathematics, 1978
Sujets:
Dynamical systems.
Mechanical engineering.
Dynamical Systems.
Mechanical Engineering.
Accès en ligne:Texto Completo
Table des matières:
  • Preliminaries
  • Margulis-Ruelle Inequality
  • Expanding Maps
  • Axiom A Endomorphisms
  • Unstable and Stable Manifolds for Endomorphisms
  • Pesin#x2019;s Entropy Formula for Endomorphisms
  • SRB Measures and Pesin#x2019;s Entropy Formula for Endomorphisms
  • Ergodic Property of Lyapunov Exponents
  • Generalized Entropy Formula
  • Exact Dimensionality of Hyperbolic Measures.

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