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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Dimension Theory of Hyperbolic Flows
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Dimension Theory of Hyperbolic Flows
Luís Barreira (Broschiert, Englisch)
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Beschreibung
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. 53,49 €
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Technische Daten
Erscheinungsdatum
10.07.2015
Sprache
Englisch
EAN
9783319033921
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Springer Monographs in Mathematics
Sonderedition
Nein
Autor
Luís Barreira
Seitenanzahl
158
Einbandart
Broschiert
Autorenporträt
Luis Barreira is a Professor of Mathematics at the Instituto Superior Técnico in Lisbon. He is the author of 17 books, including several textbooks published in several languages, and more than 100 articles on mathematics, mainly on differential equations, dynamical systems and ergodic theory.
Schlagwörter
37C45, 37Dxx, 37Axx, Markov systems, dimension theory, hyperbolic flows, multifractal analysis, variational principles
Thema-Inhalt
GPFC - Kybernetik und Systemtheorie
PBK - Mathematische Analysis, allgemein
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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