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Diffusive limit of a tagged particle in asymmetric simple exclusion processes
Author(s) -
Sethuraman Sunder,
Varadhan S. R. S.,
Yau HorngTzer
Publication year - 2000
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/1097-0312(200008)53:8<972::aid-cpa2>3.0.co;2-#
Subject(s) - mathematics , limit (mathematics) , simple (philosophy) , asymmetric simple exclusion process , statistical physics , particle (ecology) , mathematical analysis , statistics , physics , philosophy , epistemology , oceanography , geology
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 martin‐gale techniques which rely on the fact that symmetric random walks are transient in high dimensions. © 2000 John Wiley & Sons, Inc.