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

On the equidistribution of closed geodesics and geodesic nets