2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115089We prove that a set-indexed process is a set-indexed fractional Brownian motion if and only if its projections on all the increasing paths are one-parameter time changed fractional Brownian motions. As an application, we present an integral representation for such processes.6 pagesProbability62G05; 60G15; 60G17; 60G18A Characterization of the Set-indexed Fractional Brownian Motion by Increasing Pathstext