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July 1999 Uniqueness of the Tagged Particle Process in a System with Local Interactions
Ilie Grigorescu
Ann. Probab. 27(3): 1268-1282 (July 1999). DOI: 10.1214/aop/1022677446


It has been shown that for a system of Brownian motions with local interaction considered in a diffusive scaling, under some regularity assumptions on the initial profile, the tagged particle process converges to a diffusion. We provide a sufficient condition for granting both the existence and the uniqueness of the tagged particle process for an arbitrary initial profile.


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Ilie Grigorescu. "Uniqueness of the Tagged Particle Process in a System with Local Interactions." Ann. Probab. 27 (3) 1268 - 1282, July 1999.


Published: July 1999
First available in Project Euclid: 29 May 2002

zbMATH: 0961.60100
MathSciNet: MR1733147
Digital Object Identifier: 10.1214/aop/1022677446

Primary: 60K35
Secondary: 82C05 , 82C22

Keywords: arbitrary initial profile , Interacting diffusions , Tagged particle

Rights: Copyright © 1999 Institute of Mathematical Statistics

Vol.27 • No. 3 • July 1999
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