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Lectures on Lyapunov exponents /
~
Viana, Marcelo.
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Lectures on Lyapunov exponents /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Lectures on Lyapunov exponents // Marcelo Viana.
Author:
Viana, Marcelo.
Published:
Cambridge ;Cambridge University Press, : 2014.,
Description:
xiv, 202 p. :ill. ;24 cm.
Subject:
Lyapunov exponents. -
ISBN:
9781107081734
Lectures on Lyapunov exponents /
Viana, Marcelo.
Lectures on Lyapunov exponents /
Marcelo Viana. - Cambridge ;Cambridge University Press,2014. - xiv, 202 p. :ill. ;24 cm. - Cambridge studies in advanced mathematics ;145.
Includes bibliographical references (p. 191-197) and index.
Introduction --
The theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subject's leading authorities, this book is both an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based on the author's own graduate course and is reasonably self-contained with an extensive set of exercises provided at the end of each chapter. This book makes a welcome addition to the literature, serving as a graduate text and a valuable reference for researchers in the field.
ISBN: 9781107081734US65.00
LCCN: 2014021609Subjects--Topical Terms:
928229
Lyapunov exponents.
LC Class. No.: QA372 / .V53 2014
Dewey Class. No.: 515/.48
Lectures on Lyapunov exponents /
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Cambridge ;
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Cambridge University Press,
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2014.
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xiv, 202 p. :
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ill. ;
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Cambridge studies in advanced mathematics ;
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Includes bibliographical references (p. 191-197) and index.
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Introduction --
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Linear cocycles --
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Extremal Lyapunov exponents --
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Multiplicative ergodic theorem --
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Stationary measures --
$t
Exponents and invariant measures --
$t
Invariance principle --
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Simplicity --
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Generic cocycles --
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Continuity.
520
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$a
The theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subject's leading authorities, this book is both an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based on the author's own graduate course and is reasonably self-contained with an extensive set of exercises provided at the end of each chapter. This book makes a welcome addition to the literature, serving as a graduate text and a valuable reference for researchers in the field.
650
# 0
$a
Lyapunov exponents.
$3
928229
based on 0 review(s)
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壽豐校區(SF Campus)
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last issue:
1 (2015/12/07)
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六樓西文書區HC-Z(6F Western Language Books)
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