Sannolikhet, statistik och kombinatorik: Scaling limits of odometers in sandpile models

  • Date:
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 64119
  • Lecturer: Wioletta Ruszel
  • Contact person: Tony Johansson
  • Seminarium

Abstract: 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. 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  or  alpha-stable.

The results presented in this talk are joint work with L.Chiarini (IMPA/TU Delft), A. Cipriani (TU Delft), J. de Graaff (TU Delft), M.

Jara (IMPA) and R. Hazra (ISI Kolkatta).