The divisible sandpile with heavy-tailed variables

Alessandra Cipriani, Rajat Subhra Hazra, Wioletta Magdalena Ruszel

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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.
Original languageEnglish
JournalStochastic Processes and their Applications
Early online date9 Nov 2017
DOIs
Publication statusE-pub ahead of print - 9 Nov 2017

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