| Dimension and Recurrence in Hyperbolic Dynamics 2008 Edition Contributor(s): Barreira, Luis (Author) |
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ISBN: 3764388811 ISBN-13: 9783764388812 Publisher: Birkhauser OUR PRICE: $52.24 Product Type: Hardcover - Other Formats Published: July 2008 Annotation: The main objective of this book is to give a broad unified introduction to the study of dimension and recurrence in hyperbolic dynamics. It includes the discussion of the foundations, main results, and main techniques in the rich interplay of four main 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. All the results are included with detailed proofs, many of them simplified or rewritten on purpose for the book. The text is self-contained. |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Mathematical Analysis - Mathematics | Topology - General |
| Dewey: 514.7 |
| LCCN: 2008929876 |
| Series: Progress in Mathematics |
| Physical Information: 0.9" H x 6.5" W x 9.1" (1.45 lbs) 300 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |