An exit measure construction of the total local time of super-Brownian motion
type: Item
instance of: scholarly article
title: An exit measure construction of the total local time of super-Brownian motion
zbMATH Open document ID: 1486.60105
DOI: 10.1214/21-ECP412
author: Jieliang Hong
published in: Electronic Communications in Probability
publication date: 2022-01-06T00:00:00Z
review text: In this paper, the author studies super-Brownian motion in \(\mathbb{R}^d\) with \(d\le 3\). The author uses a renomalization of the total mass of the exit measure from the complement of a small ball centered at \(x\in \mathbb{R}^d\) to give a new construction of the total local time \(L^x\) of super-Brownian motion at \(x\). This construction is useful in the construction of a boundary local time measure whose support is the topological boundary of the range of super-Brownian motion.
reviewed by: Renming Song
Mathematics Subject Classification ID: 60J65
Mathematics Subject Classification ID: 60G57
Mathematics Subject Classification ID: 60J55
Mathematics Subject Classification ID: 60J68
zbMATH DE Number: 7453061
zbMATH Keywords: exit measure
zbMATH Keywords: local time
zbMATH Keywords: super-Brownian motion
MaRDI profile type: Publication
cites work: Local time and Tanaka formulae for super Brownian and super stable processes
cites work: Collision Local Times and Measure-Valued Processes
cites work: Singular solutions for some semilinear elliptic equations
cites work: A very singular solution of the heat equation with absorption
cites work: Q4255465
cites work: Renormalization of local times of super-Brownian motion
cites work: On the boundary local time measure of super-Brownian motion
cites work: On the topological boundary of the range of super-Brownian motion
cites work: Local times for superdiffusions
cites work: The Brownian snake and solutions of \(\Delta u = u^ 2\) in a domain
cites work: Q4266067
cites work: The dimension of the boundary of super-Brownian motion
cites work: Q4781633
cites work: Some properties for the measure-valued branching diffusion processes
full work available at URL: 21-ecp412
OpenAlex ID: W3176314086
Recommended article: On the exit measure of super-Brownian motion
Recommended article: On the conditioned exit measures of super Brownian motion
Recommended article: On the boundary local time measure of super-Brownian motion
Recommended article: Some properties of the exit measure for super Brownian motion.
Recommended article: Non-degenerate conditionings of the exit measures of super Brownian motion.
Recommended article: On the intersection local time of super brownian motion
description: scientific article; zbMATH DE number 7453061