Diffusive limit of a tagged particle in asymmetric simple exclusion processes

Sunder Sethuraman; S. R.S. Varadhan; Horng Tzer Yau

doi:10.1002/1097-0312(200008)53:8<972::aid-cpa2>3.0.co;2-#

Diffusive limit of a tagged particle in asymmetric simple exclusion processes

Sunder Sethuraman
, S. R.S. Varadhan
, Horng Tzer Yau

Research output: Contribution to journal › Article › peer-review

57 Scopus citations

Abstract

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)
Pages (from-to)	972-1006
Number of pages	35
Journal	Communications on Pure and Applied Mathematics
Volume	53
Issue number	8
DOIs	https://doi.org/10.1002/1097-0312(200008)53:8<972::aid-cpa2>3.0.co;2-#
State	Published - Aug 2000
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1002/1097-0312(200008)53:8<972::aid-cpa2>3.0.co;2-#

Cite this

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title = "Diffusive limit of a tagged particle in asymmetric simple exclusion processes",

abstract = "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.",

author = "Sunder Sethuraman and Varadhan, \{S. R.S.\} and Yau, \{Horng Tzer\}",

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AU - Yau, Horng Tzer

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N2 - 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.

AB - 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.

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U2 - 10.1002/1097-0312(200008)53:8<972::aid-cpa2>3.0.co;2-#

DO - 10.1002/1097-0312(200008)53:8<972::aid-cpa2>3.0.co;2-#

M3 - Article

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EP - 1006

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

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Diffusive limit of a tagged particle in asymmetric simple exclusion processes

Abstract

ASJC Scopus subject areas

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