This was part of Laplacian Growth Models

Universality Conjectures for Activated Random Walk

Lionel Levine, Cornell University

Monday, June 26, 2023

Abstract: Activated Random Walk is a particle system displaying avalanches on all scales. How universal are these avalanches? I’ll narrate five interlocking conjectures aimed at different aspects of this question: infinite-volume limits, cutoff, incompressibility, rotational symmetry, and hyperuniformity. Joint work with Feng Liang and with Vittoria Silvestri.