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Percolation Theory and Ergodic Theory of Infinite Particle Systems (Paperback, Softcover reprint of the original 1st ed. 1987)
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Percolation Theory and Ergodic Theory of Infinite Particle Systems (Paperback, Softcover reprint of the original 1st ed. 1987)
Series: The IMA Volumes in Mathematics and its Applications, 8
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This IMA Volume in ~athematics and its Applications PERCOLATION
THEORY AND ERGODIC THEORY OF INFINITE PARTICLE SYSTEMS represents
the proceedings of a workshop which was an integral part of the
19R4-85 IMA program on STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR
APPLICATIONS We are grateful to the Scientific Committee: naniel
Stroock (Chairman) Wendell Fleming Theodore Harris Pierre-Louis
Lions Steven Orey George Papanicolaoo for planning and implementing
an exciting and stimulating year-long program. We especially thank
the Workshop Organizing Committee, Harry Kesten (Chairman), Richard
Holley, and Thomas Liggett for organizing a workshop which brought
together scientists and mathematicians in a variety of areas for a
fruitful exchange of ideas. George R. Sell Hans Weinherger PREFACE
Percolation theory and interacting particle systems both have seen
an explosive growth in the last decade. These suhfields of
probability theory are closely related to statistical mechanics and
many of the publications on these suhjects (especially on the
former) appear in physics journals, wit~ a great variahility in the
level of rigour. There is a certain similarity and overlap hetween
the methods used in these two areas and, not surprisingly, they
tend to attract the same probabilists. It seemed a good idea to
organize a workshop on "Percolation Theory and Ergodic Theory of
Infinite Particle Systems" in the framework of the special
probahility year at the Institute for Mathematics and its
Applications in 1985-86. Such a workshop, dealing largely with
rigorous results, was indeed held in February 1986.
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