Activated Random Walk is a particle system displaying Self- Organized Criticality, in that the dynamics spontaneously drive the system to a critical state. How universal is this critical state? We state many in- terlocking conjectures aimed at different aspects of this question: scaling limits, microscopic limits, temporal and spatial mixing, incompressibility, and hyperuniformity.
Universality conjectures for activated random walk / Levine, Lionel; Silvestri, Vittoria. - In: PROBABILITY SURVEYS. - ISSN 1549-5787. - 21:none(2024), pp. 1-27. [10.1214/24-ps25]
Universality conjectures for activated random walk
Silvestri, Vittoria
2024
Abstract
Activated Random Walk is a particle system displaying Self- Organized Criticality, in that the dynamics spontaneously drive the system to a critical state. How universal is this critical state? We state many in- terlocking conjectures aimed at different aspects of this question: scaling limits, microscopic limits, temporal and spatial mixing, incompressibility, and hyperuniformity.File allegati a questo prodotto
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