Scaling limits of interacting diffusions with arbitrary initial distributions
type: Item
instance of: scholarly article
title: Scaling limits of interacting diffusions with arbitrary initial distributions
zbMATH Open document ID: 0801.60092
DOI: 10.1007/BF01199591
author: Kohei Uchiyama
publication date: 1994-08-31T00:00:00Z
review text: It is remarked that for Brownian particles interacting with a smooth repulsive pair potential the nonlinear diffusion equation which \textit{S. R. S. Varadhan} has derived under an entropy bound for initial densities [Commun. Math. Phys. 135, No. 2, 313-353 (1991; Zbl 0725.60085)] is valid whatever initial distribution they start with.
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 627488
zbMATH Keywords: empirical distributions
zbMATH Keywords: Cameron-Martin formula
zbMATH Keywords: Brownian particles
MaRDI profile type: Publication
cites work: Hydrodynamic scaling limits with deterministic initial configurations
cites work: Scaling limit for interacting Ornstein-Uhlenbeck processes
cites work: Hydrodynamic limit for a spin system on a multidimensional lattice
cites work: Scaling limits for interacting diffusions
full work available at URL: https://doi.org/10.1007/bf01199591
OpenAlex ID: W2140622588
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 627488