TY - JOUR
T1 - The divisible sandpile with heavy-tailed variables
AU - Cipriani, Alessandra
AU - Hazra, Rajat Subhra
AU - Ruszel, Wioletta Magdalena
PY - 2017/11/9
Y1 - 2017/11/9
N2 - 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.
AB - 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.
UR - https://doi.org/10.1016/j.spa.2017.10.013
U2 - 10.1016/j.spa.2017.10.013
DO - 10.1016/j.spa.2017.10.013
M3 - Article
JO - Stochastic Processes and their Applications
JF - Stochastic Processes and their Applications
SN - 0304-4149
ER -