Invariance principles are proved under diffusive scaling for the centered position of a tagged particle in the simple exclusion process with asymmetric nonzero drift jump probabilities in dimensions d ≥ 3. The method of proof is by martingale techniques which rely on the fact that symmetric random walks are transient in high dimensions.
|Original language||English (US)|
|Number of pages||35|
|Journal||Communications on Pure and Applied Mathematics|
|State||Published - Aug 2000|
ASJC Scopus subject areas
- Applied Mathematics