2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223676For horocyclic products of percolation subtrees of regular trees, we show almost sure amenability. Under a symmetry condition concerning the growth of the two percolation trees, we show the existence of an increasing Foelner sequence (which we call strong amenability).2 figuresProbability60B15; 60J80; 60K35text