2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62978For the d-dimensional model of a subcritical bond percolation (p<p_c) and a point \vec{a} in Z^d, we prove that a cluster conditioned on connecting points (0,...,0) and n\vec{a} if scaled by 1/(n|vec{a}|) along \vec{a} and by 1/sqrt{n} in the orthogonal direction converges asymptotically to Time x (d-1)-dimensional Brownian Bridge.18 pages, no figures, LaTeXProbability82B43; 82B41; 60K05; 60K35Brownian Bridge Asymptotics for the Subcritical Bernoulli Bond Percolationtext