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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 -stable random distribution.
Original language | English |
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Journal | Stochastic Processes and their Applications |
Early online date | 9 Nov 2017 |
DOIs | |
Publication status | E-pub ahead of print - 9 Nov 2017 |
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Dive into the research topics of 'The divisible sandpile with heavy-tailed variables'. Together they form a unique fingerprint.Projects
- 1 Finished
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Early Career Fellowship - Mathematical Analysis of Strongly Correlated Processes on Discrete Dynamic Structures
Stauffer, A. (PI)
Engineering and Physical Sciences Research Council
1/04/16 → 30/09/22
Project: Research council