2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124427The universal covering of the group PSU(1,1) acts naturally on H^m(δ), the space of holomorphic differentials of order m on the Poincare disk. The purpose of this paper is to survey, as broadly as I am able, the basic sources and examples of invariant measures for this action.AMSTEX 47 pagesProbabilityA survey of conformally invariant measures on H^m(δ)text