Scaling indentity for crossing Brownian motion in a Poissonian potential
type: Item
instance of: scholarly article
title: Scaling indentity for crossing Brownian motion in a Poissonian potential
zbMATH Open document ID: 0938.60099
author: Mario V. Wüthrich
publication date: 1999-05-18T00:00:00Z
review text: Consider \(d\)-dimensional \((d\geq 2)\) Brownian motion in a truncated Poissonian potential. If Brownian motion starts at the original and ends in the closed ball with center \(y\) and radius 1, then the transverse fluctuation of the path is expected to be of order \(|y|^\xi\), whereas the distance fluctuation is of order \(|y|\chi\). Physics literature tells us that \(\xi\) and \(\chi\) should satisfy a scaling identity \(2\xi-1=\chi\). The author studies mathematically the conjecture and presents a result which is quite close to the conjecture.
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 1233913
zbMATH Keywords: coupling
zbMATH Keywords: measurability
zbMATH Keywords: Dobrushin-Shlosman uniqueness theorem
reviewed by: Mu-Fa Chen
MaRDI profile type: Publication
full work available at URL: s004400050192
OpenAlex ID: W2094202436
DOI: 10.1007/S004400050192
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 1233913