Lyapunov Exponents

Häftad, Engelska, 2019

AvLuís Barreira

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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. With the exception of a few basic results from ergodic theory and the thermodynamic formalism, all the results presented include detailed proofs.

Produktinformation

Utgivningsdatum2019-06-06
Mått155 x 235 x 16 mm
Vikt441 g
FormatHäftad
SpråkEngelska
Antal sidor273
FörlagBirkhauser Verlag AG
ISBN9783319890555

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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.

“This monograph is a good source on the theory of Lyapunov exponents and their applications to fields as ergodic theory, hyperbolic dynamical systems, and multifractal analysis. The book is self-contained and is addressed to researchers of dynamical systems theory, as well as to all interested mathematicians from related fields. … The book contains an extensive bibliography.” (Ivan Podvigin, zbMATH 1407.37001, 2019)“The book gives a good introductionto and an overview of the recent results on the abstract theory of Lyapunov exponents, with a focus on regularity theory. … This book can be read and understood by a novice, while it comprises an overview of some very recent results useful for an expert. It complements well the 'existing literature on Lyapunov exponents, notably on a now-classical theory of nonuniform hyperbolicity and Pesin theory … .” (Sinisa Slijepcevic, Mathematical Reviews, December, 2018)