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Thermodynamic Formalism : The Mathematical Structure of Equilibrium Statistical Mechanics - David Ruelle

Thermodynamic Formalism

The Mathematical Structure of Equilibrium Statistical Mechanics


Published: 29th December 2004
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Reissued in the Cambridge Mathematical Library this classic book outlines the theory of thermodynamic formalism which was developed to describe the properties of certain physical systems consisting of a large number of subunits. It is aimed at mathematicians interested in ergodic theory, topological dynamics, constructive quantum field theory, the study of certain differentiable dynamical systems, notably Anosov diffeomorphisms and flows. It is also of interest to theoretical physicists concerned with the conceptual basis of equilibrium statistical mechanics. The level of the presentation is generally advanced, the objective being to provide an efficient research tool and a text for use in graduate teaching. Background material on mathematics has been collected in appendices to help the reader. Extra material is given in the form of updates of problems that were open at the original time of writing and as a new preface specially written for this new edition by the author.

'This is the second edition of the already classical book on the theory of thermodynamic formalism by David Ruelle.' Monatshefte fur Mathematik

Introduction to the 2nd edition
Theory of Gibbs States
Gibbs States: complements
Translation invariance: theory of equilibrium states
Connection between Gibbs States and equilibrium
One-dimensional systems
Extension of the thermodynamic formalism
Miscellaneous definitions and results
Topological dynamics
Measures and abstract dynamical systems
Integral representations on convex compact sets
Open problems
Update of open problems
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521546492
ISBN-10: 0521546494
Series: Cambridge Mathematical Library
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 196
Published: 29th December 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.1
Weight (kg): 0.3
Edition Number: 2
Edition Type: Revised