Nicht aus der Schweiz? Besuchen Sie lehmanns.de
Lyapunov Exponents - Luís Barreira

Lyapunov Exponents

(Autor)

Buch | Softcover
XI, 273 Seiten
2019 | 1. Softcover reprint of the original 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-89055-5 (ISBN)
CHF 119,80 inkl. MwSt
  • Versand in 10-20 Tagen
  • Versandkostenfrei
  • Auch auf Rechnung
  • Artikel merken

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 highlighting selected topics of current research interest. With the exception of a few basic results from ergodic theory and the thermodynamic formalism, all the results presented include detailed proofs. The book is intended for all researchers and graduate students specializing in dynamical systems who are looking for a comprehensive overview of the foundations of the theory and a sample of its applications. 

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)

Erscheinungsdatum
Zusatzinfo XI, 273 p.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 440 g
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Angewandte Mathematik
Schlagworte ergodic theory • hyperbolicity • multifractal analysis • regularity • thermodynamic formalism
ISBN-10 3-319-89055-7 / 3319890557
ISBN-13 978-3-319-89055-5 / 9783319890555
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Grundlagen – Anwendungen – Perspektiven

von Matthias Homeister

Buch | Softcover (2022)
Springer Vieweg (Verlag)
CHF 48,95