Law of large numbers for the asymmetric simple exclusion process

Details Law of large numbers for the asymmetric simple exclusion process Law of large numbers for the asymmetric simple exclusion process

2003-05-12

arxiv.org/abs/math/0305174v1

Stochastic Process. Appl. 113 (2004), no. 2, 217--233

Mathematics

Probability

16 pages

Scientific paper

10.1016/j.spa.2004.04.003

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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