2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210789This is an earlier, but more general, version of "An L^1 Ergodic Theorem for Sparse Random Subsequences". We prove an L^1 ergodic theorem for averages defined by independent random selector variables, in a setting of general measure-preserving group actions. A far more readable version of this paper is in the works.LaTeX, 16 pages; removed erroneous applicationDynamical Systems37A30 (Primary); 37A15 (Secondary)text