2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170034We study the action of the horocycle flow on the moduli space of abelian differentials in genus two. In particular, we exhibit a classification of a specific class of probability measures that are invariant and ergodic under the horocycle flow on the stratum H(1,1).23 pagesDynamical SystemsOn unipotent flows in H(1,1)text