On Dobrushin's way : from probability theory to statistical physics
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Bibliographic Information
On Dobrushin's way : from probability theory to statistical physics
（American Mathematical Society translations, ser. 2,
American Mathematical Society, c2000
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Includes bibliographical references
Description and Table of Contents
Description
R. Dobrushin worked in several branches of mathematics (probability theory, information theory), but his deepest influence was on mathematical physics. He was one of the founders of the rigorous study of statistical physics. When Dobrushin began working in that direction in the early sixties, only a few people worldwide were thinking along the same lines. Now there is an army of researchers in the field.This collection is devoted to the memory of R. L. Dobrushin. The authors who contributed to this collection knew him quite well and were his colleagues. The title, ""On Dobrushin's Way"", is meant to stress the fact that the current development of mathematical physics is evolving along the lines that Dobrushin foresaw. His ideas and methods are extensively employed today. Beyond research papers, this volume contains a short biography. Recollections from his contemporaries and younger colleagues are also included in this title. This short biographical section sketches for readers a bit of Dobrushin's personality.
Table of Contents
The lower spectral branch of the generator of the stochastic dynamics for the classical Heisenberg model by N. Angelescu, R. A. Minlos, and V. A. Zagrebnov Random walk in a fluctuating random environment with Markov evolution by C. Boldrighini, R. A. Minlos, and A. Pellegrinotti Ergodicity and exponential convergence of a Glauber+Kawasaki process by S. Brassesco, E. Presutti, V. Sidoravicius, and M. E. Vares The Griffiths singularity random field by A. van Enter, C. Maes, R. H. Schonmann, and S. Shlosman Dobrushin's program on Gibbsianity restoration: Weakly Gibbs and almost Gibbs random fields by A. van Enter, C. Maes, and S. Shlosman Space-time invariant states of the ideal gas with finite number, energy, and entropy density by G. L. Eyink and H. Spohn Hausdorff dimension and pressure in the DLR thermodynamic formalism by B. M. Gurevich and A. A. Tempelman Nonsymmetric simple random walks along orbits of ergodic automorphisms by V. Yu. Kaloshin and Ya. G. Sinai The Cramer transform and large deviations on three-dimensional Lobachevsky space by F. I. Karpelevich, E. A. Pechersky, and Yu. M. Suhov Thermodynamical limit for symmetric closed queuing networks by F. I. Karpelevich and A. N. Rybko Random infinite spin graph evolution by V. A. Malyshev An elementary approach to finite size conditions for the decay of covariances in lattice spin models by F. Martinelli Dynamics of Ising spin system at zero temperature by S. Nanda, C. M. Newman, and D. L. Stein Peierls argument for the anisotropic Ising model by S. A. Pirogov Contour methods and Pirogov-Sinai theory for continuous spin lattice models by M. Zahradnik Recollections by R. Minlos, A. M. Vershik, N. D. Vvedenskaya, Yu. D. Apresyan, S. Gindikin, V. M. Tikhomirov, Yu. Suhov, L. N. Vaserstein, M.-F. Chen, and S. Shlosman.
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