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On Dobrushin’s Way. From Probability Theory to Statistical Physics
About this Title
R. A. Minlos, Russian Academy of Sciences, Moscow, Russia, Senya Shlosman, CPT/CNRS, Marseille, France and Yu. M. Suhov, Russian Academy of Sciences, Moscow, Russia, Editors
Publication: American Mathematical Society Translations: Series 2
Publication Year:
2000; Volume 198
ISBNs: 978-0-8218-2150-3 (print); 978-1-4704-3409-0 (online)
DOI: https://doi.org/10.1090/trans2/198
MathSciNet review: MR1766337
MSC: Primary 60-06; Secondary 00B30, 82-06
ReadershipTable of Contents
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Front/Back Matter
Chapters
- N. Angelescu, R. A. Minlos and V. A. Zagrebnov – The lower spectral branch of the generator of the stochastic dynamics for the classical Heisenberg model
- C. Boldrighini, R. A. Minlos and A. Pellegrinotti – Random walk in a fluctuating random environment with Markov evolution
- S. Brassesco, E. Presutti, V. Sidoravicius and M. E. Vares – Ergodicity and exponential convergence of a Glauber+Kawasaki process
- A. van Enter, C. Maes, R. H. Schonmann and S. Shlosman – The Griffiths singularity random field
- Aernout van Enter, Christian Maes and Senya Shlosman – Dobrushin’s program on Gibbsianity restoration: Weakly Gibbs and almost Gibbs random fields
- Gregory L. Eyink and Herbert Spohn – Space-time invariant states of the ideal gas with finite number, energy, and entropy density
- B. M. Gurevich and A. A. Tempelman – Hausdorff dimension and pressure in the DLR thermodynamic formalism
- V. Yu. Kaloshin and Ya. G. Sinai – Nonsymmetric simple random walks along orbits of ergodic automorphisms
- F. I. Karpelevich, E. A. Pechersky and Yu. M. Suhov – The Cramér transform and large deviations on three-dimensional Lobachevsky space
- F. I. Karpelevich and A. N. Rybko – Thermodynamical limit for symmetric closed queuing networks
- V. A. Malyshev – Random infinite spin graph evolution
- F. Martinelli – An elementary approach to finite size conditions for the exponential decay of covariances in lattice spin models
- S. Nanda, C. M. Newman and D. L. Stein – Dynamics of Ising spin systems at zero temperature
- S. A. Pirogov – Peierls argument for the anisotropic Ising model
- Miloš Zahradník – Contour methods and Pirogov-Sinai theory for continuous spin lattice models
- R. Minlos, A. M. Vershik, N. D. Vvedenskaya, Yu. D. Apresyan, S. Gindikin, V. M. Tikhomirov, Yu. Suhov, L. Vaserstein, Mu-Fa Chen and S. Shlosman – Recollections