On meteors, earthworms and WIMPs

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.

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)

References in corpus (6)

• Consistent families of Brownian motions and stochastic flows of kernels
• The cut-and-paste process
• The copies of any permutation pattern are asymptotically normal
• A probabilistic approach to Zhang's sandpile model
• The most frequent peak set of a random permutation
• Meteor process on ${\mathbb{Z}}^d$

Cited by in corpus (2)

• Peaks Sets of Classical Coxeter Groups
• Meteor process on ${\mathbb{Z}}^d$