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arxiv: math/0305174 · v1 · pith:IQV57RA7new · submitted 2003-05-12 · 🧮 math.PR · math-ph· math.MP

Law of large numbers for the asymmetric simple exclusion process

classification 🧮 math.PR math-phmath.MP
keywords exclusionlargenumberssimpleasymmetricconsiderdensitiesdifferent
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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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