Lyapunov Exponents

• Main Author: Barreira, Luís (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Dynamical Systems and Ergodic Theory.

This book offers a self-contained introduction to the theory of Lyapunov exponents and its applications, mainly in connection with hyperbolicity, ergodic theory and multifractal analysis. It discusses the foundations and some of the main results and main techniques in the area, while also highlighti...

Table of Contents:

• Introduction
• Part I - Basic Theory.- Lyapunov Exponents and Regularity.- Sequences of Matrices.- Linear Differential Equations
• Part II - Further Topics.- Singular Values.- Characterizations of Regularity
• Part III - Hyperbolicity and Ergodic Theory.- Tempered Dichotomies.- Lyapunov Sequences.- Cocycles and Lyapunov Exponents.- Lyapunov Functions and Cones
• Part IV - Multifractal Analysis.- Entropy Spectrum.- Accumulation Sets.