The divisible sandpile with heavy-tailed variables

Alessandra Cipriani; Rajat Subhra Hazra; Wioletta Magdalena Ruszel

doi:10.1016/j.spa.2017.10.013

The divisible sandpile with heavy-tailed variables

Alessandra Cipriani, Rajat Subhra Hazra, Wioletta Magdalena Ruszel

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-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 language	English
Journal	Stochastic Processes and their Applications
Early online date	9 Nov 2017
DOIs	https://doi.org/10.1016/j.spa.2017.10.013
Publication status	E-pub ahead of print - 9 Nov 2017

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10.1016/j.spa.2017.10.013Licence: CC BY

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title = "The divisible sandpile with heavy-tailed variables",

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.",

author = "Alessandra Cipriani and Hazra, {Rajat Subhra} and Ruszel, {Wioletta Magdalena}",

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AU - Hazra, Rajat Subhra

AU - Ruszel, Wioletta Magdalena

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AB - 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.

UR - https://doi.org/10.1016/j.spa.2017.10.013

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SN - 0304-4149

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