2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76731We construct a rank one infinite measure preserving transformation $T$ such that for all sequences of nonzero integers $\{k_{1},..., k_{r}\}$, $T^{k_{1}}\times...\times T^{k_{r}}$ is ergodic.Dynamical Systems28Dtext