2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174552We announce ultrametric analogues of the results of Kleinbock-Margulis for shrinking target properties of semisimple group actions on symmetric spaces. The main applications are S-arithmetic Diophantine approximation results and logarithm laws for buildings, generalizing the work of Hersonsky-Paulin on trees.This announcement has been completely revised to reflect many new developments. Please direct all references to this NEW announcement. It is now co-authored work. Submitted to Discrete and Continuous Dynamical SystemsGeometric TopologyDynamical Systems327A17 (Primary) 11H16 (Secondary)text