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A limit result for a system of particles in random environment

Probability 2009-11-13 v1

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 tt, 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 tt and the starting point of the particles.

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Cite

@article{arxiv.0708.4156,
  title  = {A limit result for a system of particles in random environment},
  author = {Pierre Andreoletti},
  journal= {arXiv preprint arXiv:0708.4156},
  year   = {2009}
}

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11 pages