PR ] 1 5 Ju l 2 00 3 Asymptotic behaviour of watermelons

Abstract

A watermelon is a set of p Bernoulli paths starting and ending at the same ordinate, that do not intersect. In this paper, we show the convergence in distribution of two sorts of watermelons (with or without wall condition) to processes which generalize the Brownian bridge and the Brownian excursion in Rp. These limit processes are defined by stochastic… (More)

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