Shortcuts
Please wait while page loads.
SISSA Library . Default .
PageMenu- Main Menu-
Page content

Catalogue Display

Ergodic Theory, Hyperbolic Dynamics and Dimension Theory

Ergodic Theory, Hyperbolic Dynamics and Dimension Theory
Catalogue Information
Field name Details
Dewey Class 515.39
515.48
Title Ergodic Theory, Hyperbolic Dynamics and Dimension Theory ([Ebook]) / by Luis Barreira.
Author Barreira, Luis
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer , 2012.
Physical Details XII, 290 pages : 34 illus. : online resource.
Series Universitext 0172-5939
ISBN 9783642280900
Summary Note 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.:
Contents note Preface -- I Ergodic Theory -- 1.Basic Notions and Examples -- 2.Further Topics -- II Entropy and Pressure -- 3.Metric Entropy and Topological Entropy -- 4.Thermodynamic Formalism. III Hyperbolic Dynamics -- 5.Basic Notions and Examples -- 6.Invariant Manifolds and Markov Partitions -- IV Dimension Theory -- 7.Basic Notions and Examples -- 8.Dimension Theory of Hyperbolic Dynamics -- A Notions from Measure Theory -- Bibliography -- Index.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-3-642-28090-0
Links to Related Works
Subject References:
Authors:
Corporate Authors:
Series:
Classification:
Catalogue Information 28750 Beginning of record . Catalogue Information 28750 Top of page .

Reviews


This item has not been rated.    Add a Review and/or Rating28750
Quick Search