Name: Ergodic Theory Hyperbolic Dynamics and Dimension Theory
Brand: Springer Verlag
SKU: 9783642280894
Price: 5228.0 INR
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Ergodic Theory Hyperbolic Dynamics and Dimension Theory

by Barreira

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ISBN13: 9783642280894
Binding: Paperback
Subject: Mathematics and Statistics
Publisher: Springer Verlag
Publisher Imprint: Springer
Publication Date: January 1, 2012
Pages: 290
Original Price: EUR 74.99
Language: English
Edition: N/A
Item Weight: 431 grams
BISAC Subject(s): Mathematical Analysis

About The Book

From the Back Cover

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.

About The Author

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.

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