Ergodic Theory, Hyperbolic Dynamics and Dimension Theory

• Main Author: Barreira, Luis (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
• Series: Universitext,
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Dynamical Systems and Ergodic Theory.

Over the last two decades, the dimension theory of dynamical systems has progressively developed into an independent and extremely active field of research. The main aim of this volume is to offer a unified, self-contained introduction to the interplay of these three main areas of research: ergodic...

Table of Contents:

• Preface
• I Ergodic Theory
• 1.Basic Notions and Examples
• 2.Further Topics
• II Entropy and Pressure
• 3.Metric Entropy and Topological Entropy
• 4.Thermodynamic Formalism. III Hyperbolic Dynamics
• 5.Basic Notions and Examples
• 6.Invariant Manifolds and Markov Partitions
• IV Dimension Theory
• 7.Basic Notions and Examples
• 8.Dimension Theory of Hyperbolic Dynamics
• A Notions from Measure Theory
• Bibliography
• Index.