Dimension and recurrence in hyperbolic dynamics / Barreira, Luis, 1968-
Tác giả : Barreira, Luis, 1968-
Nhà xuất bản : Springer
Năm xuất bản : 2008
Mô tả vật lý : 302 p.
Số phân loại : 514.7
Chủ đề : 1. Mathematics and Statistics ; Differentiable dynamical systems ; Hyperbolic groups ; Dimension theory (Topology). 2. Book.
Thông tin chi tiết
Tóm tắt : | 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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https://repository.vnu.edu.vn/handle/VNU_123/31571 |