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math.PR2009★ 7 cited
Random walk versus random line
Joel De Coninck, Francois Dunlop, Thierry Huillet
We consider random walks X_n in Z+, obeying a detailed balance condition, with a weak drift towards the origin when X_n tends to infinity. We reconsider the equivalence in law betw…
math.PR2005★ 2 cited
A necklace of Wulff shapes
Joël De Coninck, François Dunlop, Thierry Huillet
In a probabilistic model of a film over a disordered substrate, Monte-Carlo simulations show that the film hangs from peaks of the substrate. The film profile is well approximated…