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arxiv: 1308.2183 · v2 · pith:HD3DSUDSnew · submitted 2013-08-09 · 🧮 math.PR

On meteors, earthworms and WIMPs

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keywords convergencedistributionmassaddresscertaindistributionsearthwormsempty
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We study a model of mass redistribution on a finite graph. We address the questions of convergence to equilibrium and the rate of convergence. We present theorems on the distribution of empty sites and the distribution of mass at a fixed vertex. These distributions are related to random permutations with certain peak sets.

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