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Item Details
Title: LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
By: Luis Barreira, Yakov Pesin
Format: Paperback

List price: £61.00
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ISBN 10: 0821829211
ISBN 13: 9780821829219
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Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 October, 2001
Edition: Rev and Expanded ed.
Series: University Lecture Series No. 23
Pages: 151
Description: Presents an introduction to smooth ergodic theory. This work discusses topics including the general (abstract) theory of Lyapunov exponents and its applications to the stability theory of differential equations, stable manifold theory, absolute continuity, and the ergodic theory of dynamical systems with nonzero Lyapunov exponents.
Synopsis: This book is a systematic introduction to smooth ergodic theory. The topics discussed include the general (abstract) theory of Lyapunov exponents and its applications to the stability theory of differential equations, stable manifold theory, absolute continuity, and the ergodic theory of dynamical systems with nonzero Lyapunov exponents (including geodesic flows). The authors consider several nontrivial examples of dynamical systems with nonzero Lyapunov exponents to illustrate some basic methods and ideas of the theory. This book is self-contained. The reader needs a basic knowledge of real analysis, measure theory, differential equations, and topology. The authors present basic concepts of smooth ergodic theory and provide complete proofs of the main results. They also state some more advanced results to give readers a broader view of smooth ergodic theory. This volume may be used by those nonexperts who wish to become familiar with the field.
Illustrations: bibliography, index
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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ADMISSIBILITY AND HYPERBOLICITY (PB)
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DIMENSION AND RECURRENCE IN HYPERBOLIC DYNAMICS (HB)
DIMENSION THEORY IN DYNAMICAL SYSTEMS (HB)
DIMENSION THEORY IN DYNAMICAL SYSTEMS (PB)
DIMENSION THEORY OF HYPERBOLIC FLOWS (HB)
DIMENSION THEORY OF HYPERBOLIC FLOWS (PB)
DYNAMICAL SYSTEMS (PB)
DYNAMICAL SYSTEMS BY EXAMPLE (HB)
ERGODIC THEORY, HYPERBOLIC DYNAMICS AND DIMENSION THEORY (PB)
EXERCISES IN LINEAR ALGEBRA (HB)
EXERCISES IN LINEAR ALGEBRA (PB)
GEOMETRIC AND PROBABILISTIC STRUCTURES IN DYNAMICS (PB)
HYPERBOLICITY IN DELAY EQUATIONS (HB)
INTRODUCTION TO SMOOTH ERGODIC THEORY
LECTURES ON FRACTAL GEOMETRY AND DYNAMICAL SYSTEMS (PB)
LECTURES ON PARTIAL HYPERBOLICITY AND STABLE ERGODICITY (PB)
LYAPUNOV EXPONENTS
LYAPUNOV EXPONENTS (HB)
MODERN DYNAMICAL SYSTEMS AND APPLICATIONS (HB)
MODERN THEORY OF DYNAMICAL SYSTEMS (PB)
NONUNIFORM HYPERBOLICITY
NONUNIFORM HYPERBOLICITY (HB)
ORDINARY DIFFERENTIAL EQUATIONS (HB)
SMOOTH ERGODIC THEORY AND ITS APPLICATIONS (HB)
STABILITY OF NONAUTONOMOUS DIFFERENTIAL EQUATIONS (PB)
THERMODYNAMIC FORMALISM AND APPLICATIONS TO DIMENSION THEORY (HB)
THERMODYNAMIC FORMALISM AND APPLICATIONS TO DIMENSION THEORY (PB)

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