The critical density of the Stochastic Sandpile Model

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• Nicolas Forien (Université Paris-Dauphine)
• Thursday 31 October 2024, 14:00-15:00
• Seminar Room 1, Newton Institute.

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SSDW03 - Geometry, occupation fields, and scaling limits

This talk will present the stochastic sandpile model, which is a natural candidate for an elementary model of self-organized criticality.It emerged as a variant of the abelian sandpile model, with a behaviour which is expected to be more universal. I will present a recent joint work with Concetta Campailla and Lorenzo Taggi, showing that in all dimensions this model exhibits a non-trivial phase transition, with a critical density strictly between 0 and 1.This work builds upon techniques developed to study a closely related model known as activated random walks.

This talk is part of the Isaac Newton Institute Seminar Series series.

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