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Item Details
Title: DIMENSION THEORY OF HYPERBOLIC FLOWS
By: Luis Barreira
Format: Paperback

List price: £64.99


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ISBN 10: 3319033921
ISBN 13: 9783319033921
Publisher: SPRINGER INTERNATIONAL PUBLISHING AG
Pub. date: 10 July, 2015
Edition: 2013 ed.
Series: Springer Monographs in Mathematics
Pages: 158
Description: This book offers a comprehensive overview of dimension theory of hyperbolic flows. It includes a detailed discussion of major open problems in the area.
Synopsis: The dimension theory of dynamical systems has progressively developed, especially over the last two decades, into an independent and extremely active field of research. Its main aim is to study the complexity of sets and measures that are invariant under the dynamics. In particular, it is essential to characterizing chaotic strange attractors. To date, some parts of the theory have either only been outlined, because they can be reduced to the case of maps, or are too technical for a wider audience. In this respect, the present monograph is intended to provide a comprehensive guide. Moreover, the text is self-contained and with the exception of some basic results in Chapters 3 and 4, all the results in the book include detailed proofs. The book is intended for researchers and graduate students specializing in dynamical systems who wish to have a sufficiently comprehensive view of the theory together with a working knowledge of its main techniques. The discussion of some open problems is also included in the hope that it may lead to further developments.Ideally, readers should have some familiarity with the basic notions and results of ergodic theory and hyperbolic dynamics at the level of an introductory course in the area, though the initial chapters also review all the necessary material.
Illustrations: biography
Publication: Switzerland
Imprint: Springer International Publishing AG
Returns: Returnable
Some other items by this author:
ADMISSIBILITY AND HYPERBOLICITY (PB)
COMPLEX ANALYSIS AND DIFFERENTIAL EQUATIONS (PB)
DIMENSION AND RECURRENCE IN HYPERBOLIC DYNAMICS (HB)
DIMENSION THEORY OF HYPERBOLIC FLOWS (HB)
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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