The divisible sandpile with heavy-tailed variables

Journal article (2018)

Authors

A. Cipriani University of Bath
Rajat Subhra Hazra Indian Statistical Institute
W.M. Ruszel Applied Probability - EEMCS
Research Group
Applied Probability (EEMCS) (TU Delft)
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Published Date

2018

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Applied Probability

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.

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