  We construct open domains of discontinuity for Anosov representations acting
on some homogeneous spaces, including (pseudo-Riemannian) symmetric spaces.
This generalizes work of Kapovich-Leeb-Porti on flag spaces. Our results
complement those of Gu\'eritaud-Guichard-Kassel-Wienhard, who constructed
proper actions of Anosov representations. For Zariski dense Anosov
representations with respect to a minimal parabolic subgroup acting on some
symmetric spaces, we show that our construction describes the largest possible
open domains of discontinuity.
