A limit theorem for collision path of one-dimensional independent random motions
type: Item
instance of: scholarly article
title: A limit theorem for collision path of one-dimensional independent random motions
zbMATH Open document ID: 0622.60115
author: Norio Konno
published in: Hiroshima Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: Cet article examine le comportement asymptotique du processus des collisions associé à un ensemble infini de particules se déplaçant indépendamment selon le même processus x(t). Pour la convergence, au sens des lois de dimension finie, on montre que le comportement asymptotique du processus normalisé des collisions est déterminé par le comportement limite des moments absolus d'ordre un de x(t). Un résultat de convergence faible est également obtenu dans le cas où x(t) possède des accroissements stationnaires.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 60F99
zbMATH DE Number: 4009512
zbMATH Keywords: Poisson point process
zbMATH Keywords: space-time scaling
zbMATH Keywords: weak convergence of probability distributions
zbMATH Keywords: limiting behaviors of the collision path
zbMATH Keywords: fractional Brownian motion
reviewed by: Jean-Claude Massé
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4009512