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The critical probability for confetti percolation equals 1/2
星期二, 22 三月, 2016 - 14:00
Résumé :
In the confetti percolation model, or two-coloured dead leaves model,
radius one disks arrive on the plane according to a space-time Poisson
process. Each disk is colored black with probability p and white with
probability 1-p. This defines a two-colouring of the plane, where the
color of a point on the plane is determined by the last disk to arrive
that covers it.
In this talk we will show that the critical probability for confetti
percolation equals 1/2.
That is, if p>1/2 then a.s. there is an unbounded curve in the plane
all of whose points are black; while if p
radius one disks arrive on the plane according to a space-time Poisson
process. Each disk is colored black with probability p and white with
probability 1-p. This defines a two-colouring of the plane, where the
color of a point on the plane is determined by the last disk to arrive
that covers it.
In this talk we will show that the critical probability for confetti
percolation equals 1/2.
That is, if p>1/2 then a.s. there is an unbounded curve in the plane
all of whose points are black; while if p
Institution de l'orateur :
Université d'Utrecht
Thème de recherche :
Probabilités
Salle :
04
