Dimension and Recurrence in Hyperbolic Dynamics PDF
by Luis Barreira
Part of the Progress in Mathematics series
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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.
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Download Now
- Format:PDF
- Publisher:Birkhauser Basel
- Publication Date:05/11/2008
- Category:
- ISBN:9783764388829
Information
-
Download Now
- Format:PDF
- Publisher:Birkhauser Basel
- Publication Date:05/11/2008
- Category:
- ISBN:9783764388829