Saada, Ellen A limit theorem for the position of a tagged particle in a simple exclusion process. (English) Zbl 0617.60096 Ann. Probab. 15, 375-381 (1987). The author proves a strong law of large numbers for the position of a tagged particle in a stationary simple exclusion process, which verifies a conjecture of T. M. Liggett [Interacting particle systems. (1985; Zbl 0559.60078)]. For this purpose, the process relative to the tagged particle is studied. It is shown, that the Bernoulli measures conditioned on the existence of a particle at the origin, are extremal invariant for this process. Reviewer: M.Mürmann Cited in 21 Documents MSC: 60K35 Interacting random processes; statistical mechanics type models; percolation theory 60F15 Strong limit theorems Keywords:strong law of large numbers; stationary simple exclusion process; tagged particle; Bernoulli measures; extremal invariant PDF BibTeX XML Cite \textit{E. Saada}, Ann. Probab. 15, 375--381 (1987; Zbl 0617.60096) Full Text: DOI