Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules.
Probab Theory Relat Fields
; 190(1-2): 445-483, 2024.
Article
en En
| MEDLINE
| ID: mdl-39279827
ABSTRACT
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.
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1
Colección:
01-internacional
Base de datos:
MEDLINE
Idioma:
En
Revista:
Probab Theory Relat Fields
Año:
2024
Tipo del documento:
Article
País de afiliación:
Suiza
Pais de publicación:
Alemania