Uniqueness of Gibbs measures relative to Brownian motion
type: Item
instance of: scholarly article
title: Uniqueness of Gibbs measures relative to Brownian motion
zbMATH Open document ID: 1025.60043
DOI: 10.1016/S0246-0203(03)00021-9
author: Volker Betz
author: József Lorinczi
published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques
publication date: 2003-09-04T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/77784
review text: The existence of a Gibbs measure for a given potential follows from the existence of a ground state for the corresponding Schrödinger operator. Here, one shows that, under some mathematical conditions, this solution is unique. A first condition is related to the increase rate of the potential function, a second alternative condition is related to the ground state which is not only in \(L^{2}\) but also in \(L\).
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82B21
zbMATH DE Number: 1975014
zbMATH Keywords: Gibbs measure
zbMATH Keywords: diffusion process
zbMATH Keywords: Brownian motion
reviewed by: Guy Jumarie
MaRDI profile type: Publication
OpenAlex ID: W1982435582
description: scientific article; zbMATH DE number 1975014