Dimension Theory of Hyperbolic Flows (Hardcover, 2013 ed.)

The dimension theory of dynamical systems has progressively developed, especially over the last two decades, into an independent and extremely active field of research. Its main aim is to study the complexity of sets and measures that are invariant under the dynamics. In particular, it is essential to characterizing chaotic strange attractors. To date, some parts of the theory have either only been outlined, because they can be reduced to the case of maps, or are too technical for a wider audience. In this respect, the present monograph is intended to provide a comprehensive guide. Moreover, the text is self-contained and with the exception of some basic results in Chapters 3 and 4, all the results in the book include detailed proofs. The book is intended for researchers and graduate students specializing in dynamical systems who wish to have a sufficiently comprehensive view of the theory together with a working knowledge of its main techniques. The discussion of some open problems is also included in the hope that it may lead to further developments. Ideally, readers should have some familiarity with the basic notions and results of ergodic theory and hyperbolic dynamics at the level of an introductory course in the area, though the initial chapters also review all the necessary material.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Springer Monographs in Mathematics
Release date:	June 2013
First published:	2013
Authors:	Luis Barreira
Dimensions:	235 x 155 x 15mm (L x W x T)
Format:	Hardcover
Pages:	158
Edition:	2013 ed.
ISBN-13:	978-3-319-00547-8
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science Promotions
LSN:	3-319-00547-2
Barcode:	9783319005478

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