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Advanced Studies in Pure Mathematics
2004; 395 pp; hardcover
Order Code: ASPM/39
This volume is a collection research and survey papers written by the speakers from two international conferences held in Japan: 1) The 11th Mathematical Society of Japan International Research Institute on Stochastic Analysis on Large Scale Interacting Systems and 2) Stochastic Analysis and Statistical Mechanics.
Topics discussed in the volume cover the hydrodynamic limit, fluctuations, large deviations, spectral gap (Poincaré inequality), logarithmic Sobolev inequality, Ornstein-Zernike asymptotics, random environments, determinantal expressions for systems including exclusion processes (stochastic lattice gas, Kawasaki dynamics), zero range processes, interacting Brownian particles, random walks, self-avoiding walks, Ginzburg-Landau model, interface models, Ising model, Widom-Rowlinson model, directed polymers, random matrices, Dyson's model, and more.
The material is suitable for graduate students and researchers interested in probability theory, stochastic processes, and statistical mechanics.
Volumes in this series are freely available electronically 5 years post-publication.
Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS.
Graduate students and researchers interested in probability theory, stochastic processes, and statistical mechanics.
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