2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/20932This is a pedagogical account of the recent results of Brydges and Imbrie, described from the point of view of Grassmann integration. Some simple extensions are pointed out.17 pages, 3 figures. v2: references updated. v.3: funding acknowledgments addedStatistical MechanicsLecture on Branched Polymers and Dimensional Reductiontext