Dimension and Recurrence in Hyperbolic Dynamics

Released on by Luis Barreira
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  • Dimension and Recurrence in Hyperbolic Dynamics Book Detail

  • Author : Luis Barreira
  • Release Date : 2009-08-29
  • Publisher : Birkhäuser
  • Genre : Mathematics
  • Pages : 300
  • ISBN 13 : 9783764398767
  • File Size : 29,29 MB
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Dimension and Recurrence in Hyperbolic Dynamics by Luis Barreira PDF Summary

Book 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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