Overview
- Pragmatic introduction to the study of dimension and recurrence in hyperbolic dynamics, traveling firmly but also rigorously from the basics to the frontiers of research in the area
- More than half of the material appears here for the first time in book form, with the description of many recent developments in the area, on topics such as irregular sets, variational principles, applications to number theory, measures of maximal dimension, multifractal nonrigidity, and quantitative recurrence
- The author is the winner of the Ferran Sunyer i Balaguer Prize 2008
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Mathematics (PM, volume 272)
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Table of contents (15 chapters)
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Introduction
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Basic Notions
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Dimension Theory
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Multifractal Analysis: Core Theory
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Multifractal Analysis: Further Developments
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Hyperbolicity and Recurrence
Keywords
About this book
Authors and Affiliations
Bibliographic Information
Book Title: Dimension and Recurrence in Hyperbolic Dynamics
Authors: Luis Barreira
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-3-7643-8882-9
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2008
Hardcover ISBN: 978-3-7643-8881-2Published: 17 July 2008
eBook ISBN: 978-3-7643-8882-9Published: 05 November 2008
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XIV, 300
Topics: Dynamical Systems and Ergodic Theory, Manifolds and Cell Complexes (incl. Diff.Topology), Analysis