Wioletta Ruszel

The divisible sandpile model is a special case of the class of continuous sandpile models on a graph V where the initial configuration is random and the evolution deterministic. Under certain conditions on the initial configuration the model will stabilize to the all 1 configuration. The amount of mass (u(x))_{x\in V} that is emitted from x \in V during stabilization is called the odometer. Depending on the initial configuration and the way how mass is distributed one can show that the scaling limit of u can be either a fractional Gaussian field w.r.t. some parameter s or an alpha-stable field. 'The results presented in this talk are joint work with L.Chiarini (IMPA/TU Delft), A. Cipriani (U Bath/TU Delft), M. Jara (IMPA) and R. Hazra (ISI Kolkatta).