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arXiv · 1002.1057

Crowding of Brownian spheres

Krzysztof Burdzy·Soumik Pal·Jason Swanson
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Abstract

We study two models consisting of reflecting one-dimensional Brownian "particles" of positive radius. We show that the stationary empirical distributions for the particle systems do not converge to the harmonic function for the generator of the individual particle process, unlike in the case when the particles are infinitely small.

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Krzysztof Burdzy, Soumik Pal, Jason Swanson. 2010-12-25. Crowding of Brownian spheres. https://arxiv.org/abs/1002.1057

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