Publication

Widths of crossings in Poisson Boolean percolation

Leonardo Vincenzo Santoro
2024

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 × 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.

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