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Lyapunov Exponents of Linear Cocycles - Continuity via Large Deviations (Hardcover, 1st ed. 2016) Loot Price: R2,530
Discovery Miles 25 300
Lyapunov Exponents of Linear  Cocycles - Continuity via Large Deviations (Hardcover, 1st ed. 2016): Pedro Duarte, Silvius Klein

Lyapunov Exponents of Linear Cocycles - Continuity via Large Deviations (Hardcover, 1st ed. 2016)

Pedro Duarte, Silvius Klein

Series: Atlantis Studies in Dynamical Systems, 3

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Loot Price R2,530 Discovery Miles 25 300 | Repayment Terms: R237 pm x 12*

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The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The method uses an inductive procedure based on a general, geometric version of the Avalanche Principle. The main assumption required by this method is the availability of appropriate large deviation type estimates for quantities related to the iterates of the base and fiber dynamics associated with the linear cocycle. We establish such estimates for various models of random and quasi-periodic cocycles. Our method has its origins in a paper of M. Goldstein and W. Schlag. Our present work expands upon their approach in both depth and breadth. We conclude this monograph with a list of related open problems, some of which may be treated using a similar approach.

General

Imprint: Atlantis Press (Zeger Karssen)
Country of origin: Netherlands
Series: Atlantis Studies in Dynamical Systems, 3
Release date: March 2016
First published: 2016
Authors: Pedro Duarte • Silvius Klein
Dimensions: 235 x 155 x 20mm (L x W x T)
Format: Hardcover
Pages: 263
Edition: 1st ed. 2016
ISBN-13: 978-9462391239
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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LSN: 9462391238
Barcode: 9789462391239

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