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arXiv:1308.2183 [math.PR]AbstractReferencesReviewsResources

On meteors, earthworms and WIMPs

Sara Billey, Krzysztof Burdzy, Soumik Pal, Bruce E. Sagan

Published 2013-08-09, updated 2015-06-19Version 2

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.

Comments: Published at http://dx.doi.org/10.1214/14-AAP1035 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Journal: Annals of Applied Probability 2015, Vol. 25, No. 4, 1729-1779
Categories: math.PR
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