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

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4 Citations (SciVal)

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

http://www.sciencedirect.com/science/article/pii/S0304414917302739Licence: CC BY

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@article{1579fb5b03b042baa2fe3e77c299ac34,

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}",

year = "2017",

month = nov,

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doi = "10.1016/j.spa.2017.10.013",

language = "English",

journal = "Stochastic Processes and their Applications",

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T1 - The divisible sandpile with heavy-tailed variables

AU - Cipriani, Alessandra

AU - Hazra, Rajat Subhra

AU - Ruszel, Wioletta Magdalena

PY - 2017/11/9

Y1 - 2017/11/9

N2 - 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.

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

U2 - 10.1016/j.spa.2017.10.013

DO - 10.1016/j.spa.2017.10.013

M3 - Article

SN - 0304-4149

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

ER -

The divisible sandpile with heavy-tailed variables

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Early Career Fellowship - Mathematical Analysis of Strongly Correlated Processes on Discrete Dynamic Structures

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The divisible sandpile with heavy-tailed variables

Abstract

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Early Career Fellowship - Mathematical Analysis of Strongly Correlated Processes on Discrete Dynamic Structures

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