The Annals of Probability

The Simple Exclusion Process as Seen from a Tagged Particle

Pablo A. Ferrari

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Abstract

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.

Article information

Source
Ann. Probab. Volume 14, Number 4 (1986), 1277-1290.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aop/1176992369

Digital Object Identifier
doi:10.1214/aop/1176992369

Mathematical Reviews number (MathSciNet)
MR866349

Zentralblatt MATH identifier
0628.60103

JSTOR
links.jstor.org

Subjects
Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]

Keywords
Simple exclusion process tagged particle invariant measures zero range process

Citation

Ferrari, Pablo A. The Simple Exclusion Process as Seen from a Tagged Particle. Ann. Probab. 14 (1986), no. 4, 1277--1290. doi:10.1214/aop/1176992369. https://projecteuclid.org/euclid.aop/1176992369.


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