Luis Barreira

(Author)

Dimension and Recurrence in Hyperbolic Dynamics (2008)Hardcover - 2008, 17 July 2008

Dimension and Recurrence in Hyperbolic Dynamics (2008)
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Part of Series
Progress in Mathematics
Print Length
300 pages
Language
English
Publisher
Birkhauser
Date Published
17 Jul 2008
ISBN-10
3764388811
ISBN-13
9783764388812

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.

Product Details

Author:
Luis Barreira
Book Edition:
2008
Book Format:
Hardcover
Country of Origin:
US
Date Published:
17 July 2008
Dimensions:
23.11 x 16.51 x 2.29 cm
ISBN-10:
3764388811
ISBN-13:
9783764388812
Language:
English
Location:
Basel
Pages:
300
Publisher:
Weight:
657.71 gm

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