2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172038We define analogues of Brownian motion on the triadic Cantor set by introducing a few natural requirements on the Markov semigroup. We give a detailed description of these symmetric self-similar processes and study their properties such as mixing and moment asymptotics.16 pagesProbability60G18;60J75;28A80text