A limit result for a system of particles in random environment
classification
🧮 math.PR
keywords
particlesrandomenvironmentresultsystemconsiderconsideringdefined
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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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