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October, 1986 The Simple Exclusion Process as Seen from a Tagged Particle
Pablo A. Ferrari
Ann. Probab. 14(4): 1277-1290 (October, 1986). DOI: 10.1214/aop/1176992369


The simple exclusion process "as seen from a tagged particle" is studied. The set of translation invariant and invariant measures for this process is determined in the translation invariant case on $\mathbb{Z}^d$. The set of all invariant measures is determined in the nearest neighbor asymmetric case on $\mathbb{Z}$. The domains of attraction of the invariant measures are established in the one-dimensional nearest neighbor translation invariant case.


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Pablo A. Ferrari. "The Simple Exclusion Process as Seen from a Tagged Particle." Ann. Probab. 14 (4) 1277 - 1290, October, 1986.


Published: October, 1986
First available in Project Euclid: 19 April 2007

zbMATH: 0628.60103
MathSciNet: MR866349
Digital Object Identifier: 10.1214/aop/1176992369

Primary: 60K35

Keywords: Invariant measures , simple exclusion process , Tagged particle , Zero range process

Rights: Copyright © 1986 Institute of Mathematical Statistics

Vol.14 • No. 4 • October, 1986
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