2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131332This note answers one question in [math.PR/0505668], concerning the connected allocation for the Poisson process in R^2. The proposed solution makes use of the Riemann map from the plane minus the minimal spanning forest of the Poisson point process to the halfplane. A picture of a numerically simulated example is included.6 pages, 3 figures; figures optimizedProbabilitytext