Diffusion equation techniques in stochastic monotonicity and positive correlations
type: Item
instance of: scholarly article
title: Diffusion equation techniques in stochastic monotonicity and positive correlations
zbMATH Open document ID: 0688.60062
DOI: 10.1007/BF01312211
author: Ira Herbst
author: Loren D. Pitt
publication date: 1991-01-01T00:00:00Z
review text: A diffusion equation approach is investigated for the study of stochastic monotonicity, positive correlations and the preservation of Lipschitz functions. Necessary and sufficient conditions are given for diffusion semigroups to be stochastically monotonic and to preserve the class of positively correlated measures. Applicatons are given which discuss the shape of the ground state for Schrödinger operators - \(\Delta +V\) with FKG potentials V.
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 81Q99
zbMATH DE Number: 4128196
zbMATH Keywords: diffusion equation
zbMATH Keywords: stochastic monotonicity
zbMATH Keywords: positive correlations
zbMATH Keywords: diffusion semigroups
zbMATH Keywords: Schrödinger operators
zbMATH Keywords: FKG potentials
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01312211
OpenAlex ID: W2079795061
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 4128196