Lyapunov Exponents

AvLuís Barreira

Inbunden, Engelska, 2018

1 170 kr

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Beskrivning

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

Utgivningsdatum:2018-01-30
Mått:155 x 235 x 22 mm
Vikt:600 g
Format:Inbunden
Språk:Engelska
Antal sidor:273
Förlag:Birkhauser Verlag AG
ISBN:9783319712604

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

“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)

Innehållsförteckning

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.