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Item Details
Title:
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DIMENSION AND RECURRENCE IN HYPERBOLIC DYNAMICS
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By: |
Luis Barreira |
Format: |
Hardback |
List price:
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£72.00 |
We currently do not stock this item, please contact the publisher directly for
further information.
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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 |
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