Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules
成果类型：
Article
署名作者：
Duminil-Copin, Hugo; Hartarsky, Ivailo
署名单位：
University of Geneva; Universite Paris Saclay; Technische Universitat Wien
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-024-01310-3
发表日期：
2024
页码：
445-483
关键词：
摘要：
We study two-dimensional critical bootstrap percolation models. We establish that a class of these models including all isotropic threshold rules with a convex symmetric neighbourhood, undergoes a sharp metastability transition. This extends previous instances proved for several specific rules. The paper supersedes a draft by Alexander Holroyd and the first author from 2012. While it served a role in the subsequent development of bootstrap percolation universality, we have chosen to adopt a more contemporary viewpoint in its present form.