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Thermodynamic Formalism: The Mathematical Structure of Equilibrium Statistical Mechanics
Abstract
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.
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Citations
Cited by
An Introduction to Symbolic Dynamics and Coding
Lind, D., & Marcus, B. (2021) · Cambridge University Press eBooks · doi:10.1017/9781108899727 · Cited by 2,696
Chaos in random neural networks
Sompolinsky, H., Crisanti, A., & Sommers, H. J. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.259 · Cited by 1,061
van Enter, A. C. D., Fernández, R., & Sokal, A. D. (1993) · Journal of Statistical Physics · doi:10.1007/bf01048183 · Cited by 401
Dynamical entropy ofC* algebras and von Neumann algebras
Connes, A., Narnhofer, H., & Thirring, W. (1987) · Communications in Mathematical Physics · doi:10.1007/bf01225381 · Cited by 268
Sevick, E. M., Prabhakar, R., Williams, S. R., & Searles, D. J. (2008) · Annual Review of Physical Chemistry · doi:10.1146/annurev.physchem.58.032806.104555 · Cited by 268
Metadata
- Authors
- Ruelle, D.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 2004-11-25
- OpenAlex
- W4238113606
- Cited by
- 859
- References
- 0
- FWCI
- 8.56
- Type
- book
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
