Abstract

A standard random walk on a one-dimensional integer lattice is considered where the probability ofk self-intersections of a path ω=(0, ω(1),..., ω(n) is proportional toe−λk. It is proven that for λ 0 the formulas are given for the asymptotic Westerwater velocity of a generic path and for the variance of the fluctuations about the asymptotic motion.

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