The divisible sandpile with heavy-tailed variables

Authors

Alessandra Cipriani, University of Bath
Rajat Subhra Hazra, Indian Statistical Institute, Kolkata
Wioletta M. Ruszel, Delft University of Technology

Article Type

Research Article

Publication Title

Stochastic Processes and their Applications

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 α-stable random distribution.

First Page

3054

Last Page

3081

DOI

10.1016/j.spa.2017.10.013

Publication Date

9-1-2018

Comments

All Open Access, Bronze, Green

Recommended Citation

Cipriani, Alessandra; Hazra, Rajat Subhra; and Ruszel, Wioletta M., "The divisible sandpile with heavy-tailed variables" (2018). Journal Articles. 1270.
https://digitalcommons.isical.ac.in/journal-articles/1270