Law of large numbers for the asymmetric simple exclusion process

E. Andjel; P. A. Ferrari; A. Siqueira

doi:10.1016/j.spa.2004.04.003

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Law of large numbers for the asymmetric simple exclusion process

E. Andjel·P. A. Ferrari·A. Siqueira

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Abstract

We consider simple exclusion processes on Z for which the underlying random walk has a finite first moment and a non-zero mean and whose initial distributions are product measures with different densities to the left and to the right of the origin. We prove a strong law of large numbers for the number of particles present at time t in an interval growing linearly with t.

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E. Andjel, P. A. Ferrari, A. Siqueira. 2003-05-12. Law of large numbers for the asymmetric simple exclusion process. https://doi.org/10.1016/j.spa.2004.04.003

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