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Item Details
Title:
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DIMENSION THEORY OF HYPERBOLIC FLOWS
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By: |
Luis Barreira |
Format: |
Hardback |
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List price:
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£74.99 |
We currently do not stock this item, please contact the publisher directly for
further information.
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ISBN 10: |
3319005472 |
ISBN 13: |
9783319005478 |
Publisher: |
SPRINGER INTERNATIONAL PUBLISHING AG |
Pub. date: |
12 June, 2013 |
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 |
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