Overview
- First comprehensive exposition of dimension theory of hyperbolic flows
- Includes an overview of dimension theory and multifractal analysis
- Includes a detailed discussion of major open problems in the area
Part of the book series: Springer Monographs in Mathematics (SMM)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (11 chapters)
-
Front Matter
-
Basic Notions
-
Front Matter
-
-
Dimension Theory
-
Front Matter
-
-
Multifractal Analysis
-
Front Matter
-
-
Variational Principles
-
Front Matter
-
-
Back Matter
Keywords
About this book
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.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Dimension Theory of Hyperbolic Flows
Authors: Luís Barreira
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-00548-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2013
Hardcover ISBN: 978-3-319-00547-8Published: 01 July 2013
Softcover ISBN: 978-3-319-03392-1Published: 10 July 2015
eBook ISBN: 978-3-319-00548-5Published: 12 June 2013
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: X, 158