On characteristic length for Activated random walk on the line.
Félix ROUVEYRE
Aix-Marseille Université
Date(s) : 02/06/2026 iCal
14h30 - 15h30
The concept of self-organized criticality was introduced by Bak, Tang and Wiesenfeld to provide a framework for understanding the emergence, in various contexts, of systems exhibiting long-range correlations. The historical model they proposed was the abelian sandpile. However, it suffers some lack of universality. It was a motivation for the introduction of the Activated random walk model which is robust, and exhibits a phase transition governed by two parameters.
Despite many progresses in recent years, many questions remain opened on this model. Among them, the understanding of correlations functions is a crucial one. We make a step in this direction by establishing the existence of a characteristic length for the one dimensional version of the dynamic at a sufficiently low density. This is a joint work with Grégory Maillard and Alexandre Gaudillière.
Emplacement
I2M Saint-Charles - Salle de séminaire
Catégories
