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Mathematics  2007 

A limit result for a system of particles in random environment

DOI: 10.1007/s10955-008-9497-z

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Abstract:

We consider an infinite system of particles in one dimension, each particle performs independant Sinai's random walk in random environment. Considering an instant $t$, large enough, we prove a result in probability showing that the particles are trapped in the neighborhood of well defined points of the lattice depending on the random environment the time $t$ and the starting point of the particles.

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