The divisible sandpile with heavy-tailed variables
Journal Article
(2018)
Author(s)
Alessandra Cipriani (University of Bath)
Rajat Subhra Hazra (Indian Statistical Institute)
Wioletta Ruszel (TU Delft - Applied Probability)
Research Group
Applied Probability
DOI related publication
https://doi.org/10.1016/j.spa.2017.10.013
To reference this document use:
https://resolver.tudelft.nl/uuid:a2229d3e-9a6a-48bb-b475-123d0139cf5f
More Info
expand_more
expand_more
Publication Year
2018
Language
English
Research Group
Applied Probability
Issue number
9
Volume number
128
Pages (from-to)
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 -stable random distribution.
No files available
Metadata only record. There are no files for this record.