Uniqueness of the Tagged Particle Process in a System with Local Interactions
Grigorescu, Ilie
Ann. Probab., Tome 27 (1999) no. 1, p. 1268-1282 / Harvested from Project Euclid
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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.
Publié le : 1999-07-14
Classification:  Tagged particle,  interacting diffusions,  arbitrary initial profile,  60K35,  82C22,  82C05 
@article{1022677446,
     author = {Grigorescu, Ilie},
     title = {Uniqueness of the Tagged Particle Process in a System with Local
		 Interactions},
     journal = {Ann. Probab.},
     volume = {27},
     number = {1},
     year = {1999},
     pages = { 1268-1282},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1022677446}
}

Grigorescu, Ilie. Uniqueness of the Tagged Particle Process in a System with Local
		 Interactions. Ann. Probab., Tome 27 (1999) no. 1, pp.  1268-1282. http://gdmltest.u-ga.fr/item/1022677446/