Title of article :
Law of large numbers for the simple exclusion process
Author/Authors :
Andjel، E. D. نويسنده , , M. E. De Ferrari، نويسنده , , P.A. and Siqueira، نويسنده , , A.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2004
Abstract :
We consider simple exclusion processes on Z 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 :
Law of large numbers , Subadditive ergodic theorem , Asymmetric simple exclusion process
Journal title :
Stochastic Processes and their Applications
Journal title :
Stochastic Processes and their Applications