The divisible sandpile with heavy-tailed variables

Alessandra Cipriani, Rajat Subhra Hazra and Wioletta M. Ruszel

Stochastic Processes and their Applications, 2018, vol. 128, issue 9, 3054-3081

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.

Keywords: Divisible sandpile; Heavy-tailed variables; α-stable random distribution (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:128:y:2018:i:9:p:3054-3081

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DOI: 10.1016/j.spa.2017.10.013

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