Advances in Symmetric Sandpiles

A symmetric version of the well-known SPM model for sandpiles is introduced. We prove that the new model has fixed point dynamics. Although there might be several fixed points, a precise description of the fixed points is given. Moreover, we provide a simple closed formula for counting the number of fixed points originated by initial conditions made of a single column of grains. Bounds for the transient length are also given.

• Type: Journal
• Year: 2007
• Where: FUIN
• Authors: Enrico Formenti, Benoît Masson, Theophilos Pisokas
• Keywords: FUIN 2007, Point Dynamics, Symmetric Version, Well-known Spm Model