This paper presents a generalization of the sandpile model, called the parallel symmetric
sandpile model, which inherits the rule of the symmetric sandpile model and implements …

We present experiments of sandpiles on grids (square, triangular, hexagonal) and Penrose
tilings. The challenging part is to program such simulator; and our javacript code is available …

Sand Pile Models are discrete dynamical systems emphasizing the phenomenon of Self-
OrganizedCriticality. From a configuration composed of a finite number of stacked grains, we …

We give a survey of our works on the natural extensions of the well-known Sand Pile Model.
These extensions consist of adding outside grains on random columns, allowing sand …

Sand pile models are dynamical systems describing the evolution from N stacked grains to a
stable configuration. It uses local rules to depict grain moves and iterate it until reaching a …

Signed partitions are used in order to describe a new discrete dynamical model whose
configurations have fixed sum and whose evolution rules act in balancing from left and right …

We introduce the concept of fundamental sequence for a finite graded poset X which is also
a discrete dynamical model. The concept of fundamental sequence is a refinement of the …

Sand pile models are dynamical systems describing the evolution from N stacked grains to a
stable configuration. It uses local rules to depict grain moves and iterate it until reaching a …

Sand pile models are dynamical systems emphasizing the phenomenon of Self Organized
Criticality (SOC). From N stacked grains, iterating evolution rules leads to some critical …

Emergence is easy to exhibit, but very hard to formally explain. This paper deals with square
sand grains moving around on nicely stacked columns in one dimension (the physical …