Ergodic Theory, Hyperbolic Dynamics and Dimension Theory

By:

Luis Barreira

Format:

Paperback / softback

Series:

Universitext

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Description

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.

Author Biography:

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.

Release date NZ

April 29th, 2012

Author

Luis Barreira

Audience

Postgraduate, Research & Scholarly

Illustrations

34 Illustrations, black and white; XII, 290 p. 34 illus.

Pages

290

Series

Universitext

Dimensions

156x234x16

ISBN-13

9783642280894

Product ID

19647400

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