Stochastic analysis on large scale interacting systems
 Responsibility
 edited by Tadahisa Funaki, Hirofumi Osada.
 Imprint
 [Tokyo] : Mathematical Society of Japan, c2004.
 Physical description
 395 p. ; 24 cm.
 Series
 Advanced studies in pure mathematics (Tokyo, Japan) 39.
Online
Available online
At the library
Science Library (Li and Ma)
Stacks
Call number  Note  Status 

QA1 .A3 V.39  Unknown 
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Description
Creators/Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 Large deviations for the asymmetric simple exclusion process by S. R. S. Varadhan Random path representation and sharp correlations asymptotics at high temperatures by M. Campanino, D. Ioffe, and Y. Velenik Spectral gap inequalities in product spaces with conservation laws by P. Caputo Ten explicit criteria of onedimensional processes by M.F. Chen Probabilistic analysis of directed polymers in a random environment: a review by F. Comets, T. Shiga, and N. Yoshida Entropy pairs and compensated compactness for weakly asymmetric systems by J. Fritz Large deviations for $\nabla \varphi$ interface model and derivation of free boundary problems by T. Funaki and H. Sakagawa A PDE approach for motion of phaseboundaries by a singular interfacial energy by M.H. Giga and Y. Giga The DobrushinHryniv theory for the twodimensional lattice WidomRowlinson model by Y. Higuchi, J. Murai, and J. Wang Infinite systems of noncolliding Brownian particles by M. Katori, T. Nagao, and H. Tanemura Diffusive behaviour of the equilibrium fluctuations in the asymmetric exclusion processes by C. Landim, S. Olla, and S. R. S. Varadhan Noncollision and collision properties of Dyson's model in infinite dimension and other stochastic dynamics whose equilibrium states are determinantal random point fields by H. Osada Random point fields associated with Fermion, Boson and other statistics by T. Shirai and Y. Takahashi Levy processes conditioned to stay positive and diffusions in random environments by H. Tanaka Zerorangeexclusion particle systems by K. Uchiyama.
 (source: Nielsen Book Data)
 Publisher's summary

This volume is a collection of 15 research and survey papers written by the speakers from two international conferences held in Japan, The 11th Mathematical Society of Japan International Research Institute's Stochastic Analysis on Large Scale Interacting Systems and Stochastic Analysis and Statistical Mechanics. Topics discussed in the volume cover the hydrodynamic limit, fluctuations, large deviations, spectral gap (Poincare 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 more. The material is suitable for graduate students and researchers interested in probability theory, stochastic processes, and statistical mechanics.
(source: Nielsen Book Data)
Subjects
 Subjects
 Stochastic analysis > Congresses.
 Large scale systems > Congresses.
Bibliographic information
 Publication date
 2004
 Series
 Advanced studies in pure mathematics ; 39
 Note
 This volume is a collection of fifteen research and survey papers concerning these subjects written by speakers of the two international conference: the eleventh Mathematical Society of Japan International Research Institute, held at the Shonan Village Center, Hayama, Kanagawa Prefecture, Japan from July 17th to 26th, 2002; and "Stochastic Analysis and Statistical Mechanics", held at the Yukawa Institute for Theoretical Physics, Kyoto University on July 29th and 30th, 2002. Cf. Pref.
 ISBN
 4931469248
 9784931469242