Abstract
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.
Citation
Sara Billey. Krzysztof Burdzy. Soumik Pal. Bruce E. Sagan. "On meteors, earthworms and WIMPs." Ann. Appl. Probab. 25 (4) 1729 - 1779, August 2015. https://doi.org/10.1214/14-AAP1035
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