A Limit Theorem for the Position of a Tagged Particle in a Simple Exclusion Process
Saada, Ellen
Ann. Probab., Tome 15 (1987) no. 4, p. 375-381 / Harvested from Project Euclid
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We prove that the position of a tagged particle in a stationary simple exclusion process satisfies a law of large numbers. For this purpose, we show the extremality of an invariant measure for the process "seen" from the tagged particle, and we use the ergodicity properties of the initial process.
Publié le : 1987-01-14
Classification:  Simple exclusion process,  tagged particle,  extremal invariant measures,  60K35 
@article{1176992275,
     author = {Saada, Ellen},
     title = {A Limit Theorem for the Position of a Tagged Particle in a Simple Exclusion Process},
     journal = {Ann. Probab.},
     volume = {15},
     number = {4},
     year = {1987},
     pages = { 375-381},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176992275}
}

Saada, Ellen. A Limit Theorem for the Position of a Tagged Particle in a Simple Exclusion Process. Ann. Probab., Tome 15 (1987) no. 4, pp.  375-381. http://gdmltest.u-ga.fr/item/1176992275/