We consider, in the continuous time version, independent random walks on Z in random environment in Sinai’s regime. Let
be the first meeting time of one pair of the random walks starting at different positions. We first show that the tail of the quenched distribution of
, after a suitable rescaling, converges in probability, to some functional of the Brownian motion. Then we compute the law of this functional. Eventually, we obtain results about the moments of...
Spider walks are systems of interacting particles. The particles move independently as long as their movements do not violate some given rules describing the relative position of the particles; moves that violate the rules are not realized. The goal of this paper is to study qualitative properties, as recurrence, transience, ergodicity, and positive rate of escape of these Markov processes.
Spider walks are systems of interacting particles. The particles move independently as long as their movements do not violate some given rules describing the relative position of
the particles; moves that violate the rules are not realized. The goal of this paper is to study qualitative properties, as recurrence, transience, ergodicity, and positive rate of escape of these Markov processes.
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