Equidistribution of Eisenstein series on convex co-compact hyperbolic manifolds

Colin Guillarmou, Frederic Naud

For convex co-compact hyperbolic manifolds $\Gamma \backslash {\mathbb{H}}^{n+1}$ for which the dimension of the limit set satisfies ${\delta }_{\Gamma }<n/2$, we show that the high-frequency Eisenstein…