The Annals of Probability

Uniqueness of the Tagged Particle Process in a System with Local Interactions

Ilie Grigorescu

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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.

Article information

Ann. Probab., Volume 27, Number 3 (1999), 1268-1282.

First available in Project Euclid: 29 May 2002

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
Secondary: 82C22: Interacting particle systems [See also 60K35] 82C05

Tagged particle interacting diffusions arbitrary initial profile


Grigorescu, Ilie. Uniqueness of the Tagged Particle Process in a System with Local Interactions. Ann. Probab. 27 (1999), no. 3, 1268--1282. doi:10.1214/aop/1022677446.

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