Bounds for disconnection exponents
type: Item
instance of: scholarly article
title: Bounds for disconnection exponents
zbMATH Open document ID: 0862.60069
author: Wendelin Werner
published in: Electronic Communications in Probability
publication date: 1996-10-31T00:00:00Z
full work available at URL: https://eudml.org/doc/119090
full work available at URL: paper4.abs.html
review text: Let \(B^1,\dots,B^n\) denote \(n\) independent planar Brownian motions started in \((1,0)\). The disconnection exponent is the value \(\eta_n\) such that \(P[\bigcup^n_{j=1} B^j\) does not disconnect \(0\) from infinity] is logarithmically equivalent to \(t^{-\eta_n/2}\) for \(t\to\infty\). The main purpose of the paper is to improve the upper bounds for \(\eta_n\) derived by the author [Bernoulli 1, No. 4, 371-380 (1995; Zbl 0845.60083)]. In addition, a proof of the lower bound \(1/2\pi\) for \(\eta_1\) is given.
reviewed by: O.Brockhaus
Mathematics Subject Classification ID: 60J65
zbMATH DE Number: 918332
zbMATH Keywords: planar Brownian motions
zbMATH Keywords: disconnection exponent
MaRDI profile type: Publication
DOI: 10.1214/ECP.V1-974
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description: scientific article; zbMATH DE number 918332