| 书目名称 | Dimension and Recurrence in Hyperbolic Dynamics | | 编辑 | Luis Barreira | | 视频video | | | 概述 | Pragmatic introduction to the study of dimension and recurrence in hyperbolic dynamics, traveling firmly but also rigorously from the basics to the frontiers of research in the area.More than half of | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | 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. | | 出版日期 | Book 2008 | | 关键词 | calculus; dimension theory; hyperbolic set; maximum; multifractal analysis; recurrence; symbolic dynamics | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-7643-8882-9 | | isbn_ebook | 978-3-7643-8882-9Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Birkhäuser Basel 2008 |
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发表于 2025-3-21 16:21:55
