Vol.39
 

Stochastic Analysis on Large Scale Interacting Systems
Edited by T. Funaki，H. Osada
 

This volume is a collection of fifteen research and survey papers
written by speakers of the two international conferences
which were held in Japan in July, 2002: (1) The 11th Mathematical
Society of Japan International
Research Institute "Stochastic Analysis on Large
Scale Interacting Systems" (Shonan Village Center) and
(2) "Stochastic Analysis and Statistical Mechanics"
(Kyoto University).
The topics discussed in this volume cover the hydrodynamic
limit, fluctuations, large deviations, spectral gap (Poincar\'e
inequality), logarithmic Sobolev inequality, OrnsteinZernike
asymptotics, random environments, determinantal expressions
for systems including exclusion processes (stochastic lattice gas,
Kawasaki dynamics), zero range processes, interacting Brownian particles,
random walks, selfavoiding walks, GinzburgLandau model,
interface models, Ising model, WidomRowlinson model, directed polymers,
random matrices, Dyson's model and others.
 
