Law of large numbers for the simple exclusion process

We consider simple exclusion processes on for which the underlying random walk has a finite first moment 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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Year of publication:	2004
Authors:	Andjel, E. ; Ferrari, P. A. ; Siqueira, A.
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 113.2004, 2, p. 217-233
Publisher:	Elsevier
Keywords:	Asymmetric simple exclusion process Law of large numbers Subadditive ergodic theorem

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008874460