1 results
Search Results
Now showing 1 - 1 of 1
- ItemThe divisible sandpile with heavy-tailed variables(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2016) Cipriani, Alessandra; Hazra, Rajat Subhra; Ruszel, Wioletta M.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.