Celebratio Mathematica — Liggett — Complete Bibliography

Complete Bibliography

Works connected to Werner Erwin Kohler

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T. M. Liggett: “Limiting behavior of a one-dimensional system with long range interactions,” pp. 31–40 in Mathematics of random media (Blacksburg, VA, 29 May–9 June 1989). Edited by W. E. Kohler and B. S. White. Lectures in Applied Mathematics 27. American Mathematical Society (Providence, RI), 1991. MR 1117234 Zbl 0731.60094 incollection

During the past twenty years, the study of interacting particle systems has concentrated on certain specific types of models. These have been chosen partly for their simplicity and mathematical appeal, partly because they exhibit phenomena such as phase transition which are of interest in other fields, and partly because they are well suited to analysis by certain important techniques. One type of model which has all of these attributes is known as a nearest particle system. This paper describes the progress which has been made during the past decade in understanding the limiting behavior of this process, with particular emphasis on the most tractable case in which it has the properties of attractiveness and reversibility.

Benjamin Steven White	Related
Werner Erwin Kohler	Related