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Equidistribution, ergodicity and irreducibility associated with Gibbs measures
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Abstract: We generalize an equidistribution theorem \`a 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 the
property RD of hyperbolic groups, together with a dynamical tool: an
equidistribution theorem of Paulin, Pollicott and Schapira insp ...
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