Widths of crossings in Poisson Boolean percolation
Abstract We answer the following question: if the occupied (or vacant) set of a planar Poisson Boolean percolation model contains a crossing of an $n\times n$ square, how wide is this crossing? The answer depends on whether we consider the critical, sub-, or super-critical regime, and is different for the occupied and vacant sets.
Authors
- Leonardo V. Santoro (ORCID: https://orcid.org/0000-0003-3939-4177)
- Ioan Manolescu (ORCID: https://orcid.org/0000-0001-9140-5430)
Institutions
- University of Fribourg (CH)
- Laboratoire de Mathématiques d'Orsay (FR)
- École Polytechnique Fédérale de Lausanne (CH)
Publication Details
- Journal
- Journal of Applied Probability
- Published
- 2024-11-26
- DOI
- https://doi.org/10.1017/jpr.2024.91
- Citations
- 1
- Primary Topic
- Stochastic processes and statistical mechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.89