Coalescing stochastic flows on the real line
type: Item
instance of: scholarly article
title: Coalescing stochastic flows on the real line
zbMATH Open document ID: 0709.60069
author: Hiroyuki Matsumoto
published in: Osaka Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The present paper studies certain stochastic flows of nonsmooth maps known as coalescing flows. Under suitable conditions this paper considers two cases according to whether the infinitesimal correlation function a(x,y) can or cannot be considered as a function of a spatial differential, i.e. the local characteristic has or has not the form b(x- y). Whether coalescence occurs in finite time or not is given by an integral condition for b. Section 2 deals with the construction of stochastic flows and Section 3 states the main theorems for spatially homogeneous flows, while Sections 4, 5 and 6 are concerned with their proofs. The last section considers spatially inhomogeneous flows.
Mathematics Subject Classification ID: 60H99
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 4166226
zbMATH Keywords: stochastic flows
zbMATH Keywords: interacting random processes
zbMATH Keywords: infinitesimal correlation function
zbMATH Keywords: local characteristic
zbMATH Keywords: spatially inhomogeneous flows
reviewed by: Guillermo I. Gómez
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4166226