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arXiv:2306.01698 (math)
[Submitted on 2 Jun 2023 (v1) , last revised 14 Jun 2023 (this version, v2)]

Title: Universality Conjectures for Activated Random Walk

Title: 激活随机游走的普遍性猜想

Authors:Lionel Levine, Vittoria Silvestri
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 interlocking conjectures aimed at different aspects of this question: scaling limits, microscopic limits, temporal and spatial mixing, incompressibility, and hyperuniformity.
Abstract: 激活随机行走是一个显示自组织临界性的粒子系统,即动态自发地将系统驱动到临界状态。这个临界状态有多普遍? 我们提出了许多相互关联的假设,旨在探讨这个问题的不同方面:标度极限、微观极限、时间与空间混合、不可压缩性和超均匀性。
Comments: 22 pages, 10 figures
Subjects: Probability (math.PR) ; Mathematical Physics (math-ph)
Cite as: arXiv:2306.01698 [math.PR]
  (or arXiv:2306.01698v2 [math.PR] for this version)
  https://doi.org/10.48550/arXiv.2306.01698
arXiv-issued DOI via DataCite

Submission history

From: Vittoria Silvestri [view email]
[v1] Fri, 2 Jun 2023 17:18:16 UTC (17,669 KB)
[v2] Wed, 14 Jun 2023 10:13:29 UTC (17,668 KB)
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