Dimension and Recurrence in Hyperbolic Dynamics

By:

Luis Barreira

Format:

Hardback

Series:

Progress in Mathematics

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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.

Release date NZ

July 17th, 2008

Author

Luis Barreira

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Illustrations

XIV, 300 p.

Pages

300

Series

Progress in Mathematics

Dimensions

156x234x19

ISBN-13

9783764388812

Product ID

2596954

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