Families of Vicious Walkers

Abstract

We consider a generalisation of the vicious walker problem in which N random walkers in R are grouped into p families. Using field-theoretic renormalisation group methods we calculate the asymptotic behaviour of the probability that no pairs of walkers from different families have met up to time t. For d > 2, this is constant, but for d < 2 it decays as a… (More)

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