Cipriani, Alessandra ; Hazra, Rajat Subhra ; Ruszel, Wioletta M. (2018) The divisible sandpile with heavy-tailed variables Stochastic Processes and their Applications, 128 (9). pp. 3054-3081. ISSN 0304-4149
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Official URL: http://doi.org/10.1016/j.spa.2017.10.013
Related URL: http://dx.doi.org/10.1016/j.spa.2017.10.013
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier B.V.. |
| Keywords: | Divisible Sandpile; Heavy-Tailed Variables; α-Stable Random Distribution. |
| ID Code: | 121059 |
| Deposited On: | 09 Jul 2021 04:51 |
| Last Modified: | 09 Jul 2021 04:51 |
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