Work

Widths of crossings in Poisson Boolean percolation

Year: 2024

Type: article

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.

Source: Journal of Applied Probability

DOI: 10.1017/jpr.2024.91

Authors: Ioan Manolescu, Leonardo V. Santoro

Institutions: University of Fribourg, École Polytechnique Fédérale de Lausanne

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,450

OpenAlex ID: W4404729502

FWCI: 0.653

Cites: 27

Cited by: 1

Related to: 10