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Item Details
Title: DIMENSION AND RECURRENCE IN HYPERBOLIC DYNAMICS
By: Luis Barreira
Format: Hardback

List price: £72.00


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ISBN 10: 3764388811
ISBN 13: 9783764388812
Publisher: BIRKHAUSER VERLAG AG
Pub. date: 17 July, 2008
Series: Progress in Mathematics v. 272
Pages: 300
Description: This book offers a broad unified introduction to the study of dimension and recurrence in hyperbolic dynamics. It examines the interplay of four main areas of research: hyperbolic dynamics, dimension theory, multifractal analysis, and quantitative recurrence.
Synopsis: The main objective of this book is to give a broad uni?ed introduction to the study of dimension and recurrence inhyperbolic dynamics. It includes a disc- sion of the foundations, main results, and main techniques in the rich interplay of fourmain areas of research: hyperbolic dynamics, dimension theory, multifractal analysis, and quantitative recurrence. It also gives a panorama of several selected topics of current research interest. This includes topics on irregular sets, var- tional principles, applications to number theory, measures of maximal dimension, multifractal rigidity, and quantitative recurrence. The book isdirected to researchersas well as graduate students whowish to have a global view of the theory together with a working knowledgeof its main techniques. It can also be used as a basis for graduatecourses in dimension theory of dynamical systems, multifractal analysis (together with a discussion of several special topics), and pointwise dimension and recurrence in hyperbolic dynamics. I hope that the book may serve as a fast entry point to this exciting and active ?eld of research, and also that it may lead to further developments.
Illustrations: biography
Publication: Switzerland
Imprint: Birkhauser Verlag AG
Returns: Returnable
Some other items by this author:
ADMISSIBILITY AND HYPERBOLICITY (PB)
COMPLEX ANALYSIS AND DIFFERENTIAL EQUATIONS (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)
HYPERBOLICITY IN DELAY EQUATIONS (HB)
INTRODUCTION TO SMOOTH ERGODIC THEORY
LYAPUNOV EXPONENTS
LYAPUNOV EXPONENTS (HB)
LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY (PB)
NONUNIFORM HYPERBOLICITY
NONUNIFORM HYPERBOLICITY (HB)
ORDINARY DIFFERENTIAL EQUATIONS (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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