Ergodic Theory, Hyperbolic Dynamics and Di...

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Beschreibung

Over the last two decades, the dimension theory of dynamical systems has progressively developed into an independent and extremely active field of research. The main aim of this volume is to offer a unified, self-contained introduction to the interplay of these three main areas of research: ergodic theory, hyperbolic dynamics, and dimension theory. It starts with the basic notions of the first two topics and ends with a sufficiently high-level introduction to the third. Furthermore, it includes an introduction to the thermodynamic formalism, which is an important tool in dimension theory.
The volume is primarily intended for graduate students interested in dynamical systems, as well as researchers in other areas who wish to learn about ergodic theory, thermodynamic formalism, or dimension theory of hyperbolic dynamics at an intermediate level in a sufficiently detailed manner. In particular, it can be used as a basis for graduate courses on any of these three subjects. The text can also be used for self-study: it is self-contained, and with the exception of some well-known basic facts from other areas, all statements include detailed proofs.

Über den Autor

Luís Barreira is a Professor of Mathematics at Instituto Superior Técnico, in Lisbon. He is the author of 15 books, including 5 research monographs published by AMS, Birkhäuser, Cambridge and Springer, and several textbooks in various languages. He is also the author of more than 130 articles in mathematics, mainly in differential equations and dynamical systems.

Zusammenfassung

Self-contained introduction to three main areas of current research

Primarily intended for graduate students as well as researchers and useful as a self-study guide

Gives a unified perspective of material that was dispersed so far in different sources

Inhaltsverzeichnis

Preface.- I Ergodic Theory.- [...] Notions and Examples.- 2.Further Topics.- II Entropy and Pressure.- 3.Metric Entropy and Topological Entropy.- 4.Thermodynamic Formalism. III Hyperbolic Dynamics.- [...] Notions and Examples.- 6.Invariant Manifolds and Markov Partitions.- IV Dimension Theory.- [...] Notions and Examples.- 8.Dimension Theory of Hyperbolic Dynamics.- A Notions from Measure Theory.- Bibliography.- Index. ¿

Details

Erscheinungsjahr:	2012
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Universitext
Inhalt:	xii 290 S. 34 s/w Illustr. 290 p. 34 illus.
ISBN-13:	9783642280894
ISBN-10:	3642280897
Sprache:	Englisch
Herstellernummer:	86049675
Einband:	Kartoniert / Broschiert
Autor:	Barreira, Luís
Hersteller:	Springer Springer Vieweg Springer-Verlag GmbH Universitext
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 17 mm
Von/Mit:	Luís Barreira
Erscheinungsdatum:	29.04.2012
Gewicht:	0,464 kg