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2010 A limit theorem for particle current in the symmetric exclusion process
Alexander Vandenberg-Rodes
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Electron. Commun. Probab. 15: 240-252 (2010). DOI: 10.1214/ECP.v15-1550

Abstract

Using the recently discovered strong negative dependence properties of the symmetric exclusion process, we derive general conditions for when the normalized current of particles between regions converges to the Gaussian distribution. The main novelty is that the results do not assume any translation invariance, and hold for most initial configurations.

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Alexander Vandenberg-Rodes. "A limit theorem for particle current in the symmetric exclusion process." Electron. Commun. Probab. 15 240 - 252, 2010. https://doi.org/10.1214/ECP.v15-1550

Information

Accepted: 28 June 2010; Published: 2010
First available in Project Euclid: 6 June 2016

zbMATH: 1226.60138
MathSciNet: MR2658971
Digital Object Identifier: 10.1214/ECP.v15-1550

Subjects:
Primary: 60K35

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