2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115347For the action of an algebraic cellular automaton on a Markov subgroup, we show that the Cesàro mean of the iterates of a Markov measure converges to the Haar measure. This is proven by using the combinatorics of the binomial coefficients on the regenerative construction of the Markov measure.Published at http://dx.doi.org/10.1214/074921706000000130 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)Dynamical SystemsGeneral Topology54H20 (Primary) 37B20 (Secondary)text