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math.PR2024
The critical density of the Stochastic Sandpile Model
Concetta Campailla, Nicolas Forien, Lorenzo Taggi
We study the stochastic sandpile model on and demonstrate that the critical density is strictly less than one in all dimensions. This generalizes a previous result b…
math.PR2024
Macroscopic flow out of a segment for Activated Random Walks in dimension 1
Nicolas Forien
Activated Random Walk is a system of interacting particles which presents a phase transition and a conjectured phenomenon of self-organized criticality. In this note, we prove that…