Equidistribution, ergodicity and irreducibility associated with Gibbs measures
Equidistribution, ergodicity and irreducibility associated with Gibbs measures
We generalize an equidistribution theorem à la Bader–Muchnik for operator-valued measures constructed from a family of boundary representations associated with Gibbs measures in the context of convex cocompact discrete group of isometries of a simply connected connected Riemannian manifold with pinched negative curvature. We combine a functional analytic tool, namely …