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arXiv · 1610.09863

The divisible sandpile with heavy-tailed variables

Alessandra Cipriani·Rajat Subhra Hazra·Wioletta M. Ruszel
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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 $\alpha$-stable random distribution.

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Alessandra Cipriani, Rajat Subhra Hazra, Wioletta M. Ruszel. 2016-10-31. The divisible sandpile with heavy-tailed variables. https://arxiv.org/abs/1610.09863

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