  We give a precise counting result on the symmetric space of a noncompact real
algebraic semisimple group $G,$ for a class of discrete subgroups of $G$ that
contains, for example, representations of a surface group on
$\textrm{PSL}(2,\mathbb R)\times\textrm{PSL}(2,\mathbb R),$ induced by choosing
two points on the Teichm\"uller space of the surface; and representations on
the Hitchin component of $\textrm{PSL}(d,\mathbb R).$ We also prove a mixing
property for the Weyl chamber flow in this setting.
