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Super-Brownian motion among Poissonian obstacles

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To each positive a, we associate a random collection of obstacles G_a and a super-Brownian motion in R^d, with underlying spatial motion given by the law of Brownian motion killed within G_a. The obstacles are such that, when a tends to 0, their intensity grows to infinity but their radii tend to 0 in an appropriate manner. The result I will present is the behaviour of this sequence of super-Brownian motions as a tends to 0, and in particular its (quenched) convergence to a limiting superprocess.

This talk is part of the Probability series.

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