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Barreira L. Lyapunov Exponents

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Barreira L. Lyapunov Exponents
Springer International Publishing AG, 2017. – 273 p. – ISBN 3319712608.
This book is a self-contained introduction to the theory of Lyapunov exponents and its applications, particularly in connection with hyperbolicity, ergodic theory, and multifractal analysis. It includes the discussion of the foundations and of some of the main results and main techniques in the area. It also gives a panorama of selected topics of current research interest. I emphasize that unlike in most other works, Lyapunov exponents are from beginning to end the main theme, of course with many variations and with nontrivial connections to other areas.
Contents
Introduction
Basic Theory
Lyapunov Exponents and Regularity
Sequences of Matrices
Linear Differential Equations
Lyapunov–Perron Regularity
Further Topics
Preservation of Lyapunov Exponents
Singular Values
Characterizations of Regularity
Regularity and Adjoint Sequences Hyperbolicity and Ergodic Theory
Tempered Dichotomies
Lyapunov Sequences
Cocycles and Lyapunov Exponents .
Lyapunov Functions and Cones
Multifractal Analysis
Entropy Spectrum
Accumulation Sets
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