Law of large numbers for the simple exclusion process

E. Andjel, P. A. Ferrari and A. Siqueira

Stochastic Processes and their Applications, 2004, vol. 113, issue 2, 217-233

Abstract: 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.

Keywords: Asymmetric; simple; exclusion; process; Law; of; large; numbers; Subadditive; ergodic; theorem (search for similar items in EconPapers)
Date: 2004
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