  We show that given a closed $n$-manifold $M$, for a generic set of Riemannian
metrics $g$ on $M$ there exists a sequence of closed geodesics that are
equidistributed in $M$ if $n=2$; and an equidistributed sequence of embedded
stationary geodesic nets if $n=3$. One of the main tools that we use is the
Weyl Law for the volume spectrum for $1$-cycles, proved by Liokumovich, Marques
and Neves for $n=2$ and more recently by Guth and Liokumovich for $n=3$. We
show that our proof of the equidistribution of geodesic nets can be generalized
for any dimension $n\geq 2$ provided the Weyl Law for $1$-cycles in
$n$-manifolds holds.
