Grigorescu, Ilie Uniqueness of the tagged particle process in a system with local interactions. (English) Zbl 0961.60100 Ann. Probab. 27, No. 3, 1268-1282 (1999). This paper supplements the article reviewed above. For the same model uniqueness of the tagged particle process in the scaling limit is proved for arbitrary initial profiles provided a specified distribution of the macroscopic mass at the starting point of the tagged particle among each of its sides. Reviewer: M.Mürmann (Heidelberg) Cited in 4 Documents MSC: 60K35 Interacting random processes; statistical mechanics type models; percolation theory 82C22 Interacting particle systems in time-dependent statistical mechanics 82C05 Classical dynamic and nonequilibrium statistical mechanics (general) Keywords:interacting diffusions; tagged particle; arbitrary initial profile; scaling limit PDF BibTeX XML Cite \textit{I. Grigorescu}, Ann. Probab. 27, No. 3, 1268--1282 (1999; Zbl 0961.60100) Full Text: DOI References: [1] GRIGORESCU, I. 1999. Self-diffusion for Brownian motions with local interaction. Ann. Probab. 27 1208 1267. · Zbl 0961.60099 [2] GUO, M.1984. Limit theorems for interacting particle systems. New York University. [3] GUO, M.and PAPANICOLAOU, G. 1985. Self-diffusion of interacting Brownian particles. In Probabilistic Methods in Mathematical Physics 113 151. Katata, Kyoto, Japan. · Zbl 0656.60109 [4] VARADHAN, S. R. S. 1991. Scaling limits for interacting diffusions. Comm. Math. Phys. 135 313 353. · Zbl 0725.60085 [5] SALT LAKE CITY, UTAH 84112-0090 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.