Title: Evolutive sandpiles

Abstract: Sandpile group or Abelian sandpile model was the first example of a self-organized critical system studied by Bak, Tang and Wiesenfeld. The dynamics of the sandpiles occurs when the grains topple over a graph. In this study, we allow the graph evolve over time and change the topology at each stage. This results in the occurrence of phenomenons impossible in the classical sandpile models. Like, configurations over evolutive graphs that are always are unstable. We also experiment with the stabilization of configurations with a large number of grains at the center. This allow us to obtain fractals. Finally, we obtain some power laws associated with some evolutive graphs.