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The divisible sandpile with heavy-tailed variables

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Publication date

2018

Authors

Cipriani, Alessandra
Hazra, Rajat
Ruszel, WiolettaORCID 0000-0002-8166-2318ISNI 000000039432442X

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DOI

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

Document Type

Article

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Utrecht University Repository

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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

Citation

Cipriani, A, Hazra, R & Ruszel, W M 2018, 'The divisible sandpile with heavy-tailed variables', Stochastic Processes and their Applications, vol. 128, no. 9, pp. 3054-3081. https://doi.org/10.1016/j.spa.2017.10.013

URI

https://dspace.library.uu.nl/handle/1874/387201