Intersections of random walks in four dimensions. II
type: Item
instance of: scholarly article
title: Intersections of random walks in four dimensions. II
zbMATH Open document ID: 0585.60069
DOI: 10.1007/BF01221219
author: Gregory F. Lawler
published in: Communications in Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: Let f(n) be the probability that the paths of two simple random walks of length n starting at the origin in \(Z^ 4\) have no intersection. In part I, ibid. 86, 539-554 (1982; Zbl 0502.60057) it has been shown that f(n)\(\leq c(\log n)^{-1/2}\). Here it is proved that for all \(r>1/2\), \(\lim_{n\to \infty}(\log n)^ rf(n)=\infty\).
Mathematics Subject Classification ID: 60G50
zbMATH DE Number: 3938184
zbMATH Keywords: intersections
zbMATH Keywords: critical exponents
MaRDI profile type: Publication
cites work: The probability of intersection of independent random walks in four dimensions
full work available at URL: https://doi.org/10.1007/bf01221219
OpenAlex ID: W2081188133
description: scientific article; zbMATH DE number 3938184