A remark on diffusion of directed polymers in random environments
type: Item
instance of: scholarly article
title: A remark on diffusion of directed polymers in random environments
zbMATH Open document ID: 0924.60053
DOI: 10.1007/BF02175566
author: Renming Song
author: Xian Yin Zhou
published in: Journal of Statistical Physics
publication date: 1999-11-07T00:00:00Z
review text: A system of random walks, interpreted as that of directed polymers interacting with a environment which is random in space and time, may with probability one display a diffusive behaviour. Minimal assumptions on the distribution of the environment are established. Precise estimates are obtained for the asymptotics of the mean square displacement of the system in dimensions exceeding two. This generalizes earlier results due to \textit{Y. G. Sinai} [Fundam. Math. 147, No. 2, 173-180 (1995; Zbl 0835.60062)].
reviewed by: Piotr Garbaczewski
Mathematics Subject Classification ID: 60G50
Mathematics Subject Classification ID: 82C41
Mathematics Subject Classification ID: 82C44
Mathematics Subject Classification ID: 82D60
zbMATH DE Number: 1279712
zbMATH Keywords: random walk
zbMATH Keywords: diffusion
zbMATH Keywords: random media
zbMATH Keywords: polymers
zbMATH Keywords: martingales
zbMATH Keywords: disordered systems
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02175566
OpenAlex ID: W1995603519
description: scientific article; zbMATH DE number 1279712