The divisible sandpile with heavy-tailed variables
Probability
2016-11-01 v1
Abstract
This work deals with the divisible sandpile model when an initial configuration sampled from a heavy-tailed distribution. Extending results of Levine et al. (2015) and Cipriani et al. (2016) we determine sufficient conditions for stabilization and non-stabilization on infinite graphs. We determine furthermore that the scaling limit of the odometer on the torus is an -stable random distribution.
Cite
@article{arxiv.1610.09863,
title = {The divisible sandpile with heavy-tailed variables},
author = {Alessandra Cipriani and Rajat Subhra Hazra and Wioletta M. Ruszel},
journal= {arXiv preprint arXiv:1610.09863},
year = {2016}
}
Comments
preliminary version, comments are welcome