Keywords:
Mathematical physics.
;
Electronic books.
Description / Table of Contents:
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. This short biographical section sketches for readers a bit of Dobrushin's qpersonality.
Type of Medium:
Online Resource
Pages:
1 online resource (258 pages)
Edition:
1st ed.
ISBN:
9781470434090
Series Statement:
American Mathematical Society Translations - Series 2 ; v.198
URL:
https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=4833582
DDC:
530.15/95
Language:
English
Note:
Cover -- Frontispiece -- Title page -- Copyright page -- Contents -- Foreword -- A brief biography -- The lower spectral branch of the generator of the stochastic dynamics for the classical Heisenberg model -- Random walk in a fluctuating random environment with Markov evolution -- Ergodicity and exponential convergence of a Glauber+Kawasaki process -- The Griffiths singularity random field -- Dobrushin's program on Gibbsianity restoration: Weakly Gibbs and almost Gibbs random fields -- Space-time invariant states of the ideal gas with finite number, energy, and entropy density -- Hausdorff dimension and pressure in the DLR thermodynamic formalism -- Nonsymmetric simple random walks along orbits of ergodic automorphisms -- The Cramér transform and large deviations on three-dimensional Lobachevsky space -- Thermodynamical limit for symmetric closed queuing networks -- Random infinite spin graph evolution -- An elementary approach to finite size conditions for the exponential decay of covariances in lattice spin models -- Dynamics of Ising spin systems at zero temperature -- Peierls argument for the anisotropic Ising model -- Contour methods and Pirogov-Sinai theory for continuous spin lattice models -- Recollections -- Back Cover.
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