Dimension and Recurrence in Hyperbolic Dynamics Luis Barreira

ISBN: 9783764388829

Published: January 1st 2008

ebook

302 pages


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Dimension and Recurrence in Hyperbolic Dynamics  by  Luis Barreira

Dimension and Recurrence in Hyperbolic Dynamics by Luis Barreira
January 1st 2008 | ebook | PDF, EPUB, FB2, DjVu, audiobook, mp3, RTF | 302 pages | ISBN: 9783764388829 | 10.17 Mb

The main objective of this book is to give a broad unified introduction to the study of dimension and recurrence in hyperbolic dynamics. It includes the discussion of the foundations, main results, and main techniques in the rich interplay of fourMoreThe main objective of this book is to give a broad unified introduction to the study of dimension and recurrence in hyperbolic dynamics.

It includes the discussion of the foundations, main results, and main techniques in the rich interplay of four main 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. More than half of the material appears here for the first time in book form, describing many recent developments in the area such as topics on irregular sets, variational principles, applications to number theory, measures of maximal dimension, multifractal nonrigidity, and quantitative recurrence.

All the results are included with detailed proofs, many of them simplified or rewritten on purpose for the book.



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