Diffusive limit of a tagged particle in asymmetric simple exclusion processes

Authors
Sethuraman, S Varadhan, SRS Yau, HT
Citation
S. Sethuraman et al., Diffusive limit of a tagged particle in asymmetric simple exclusion processes, COM PA MATH, 53(8), 2000, pp. 972-1006
Citations number
11
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
ISSN journal
00103640 → ACNP
Volume
53
Issue
8
Year of publication
2000
Pages
972 - 1006
Database
ISI
SICI code
0010-3640(200008)53:8<972:DLOATP>2.0.ZU;2-F
Abstract
Invariance principles are proved under diffusive scaling for the centered p osition of a tagged particle in the simple exclusion process with asymmetri c nonzero drift jump probabilities in dimensions d greater than or equal to 3. The method or proof is by martin-gale techniques which rely on the fact that symmetric random walks are transient in high dimensions. (C) 2000 Joh n Wiley & Sons, Inc.