Smooth Ergodic Theory for Endomorphisms

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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Bibliographic Details
Main Authors: Qian, Min (Author), Xie, Jian-Sheng (Author), Zhu, Shu (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
Series:Lecture Notes in Mathematics, 1978
Subjects:
Mathematics.
Dynamics.
Ergodic theory.
Mechanical engineering.
Dynamical Systems and Ergodic Theory.
Mechanical Engineering.
Online Access:Full Text via HEAL-Link
Table of Contents:
  • 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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