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Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters

Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters

In this paper we complete the program of relating the Laplace spectrum for rank one compact locally symmetric spaces with the first band Ruelle-Pollicott resonances of the geodesic flow on its sphere bundle. This program was started in [FF03] by Flaminio and Forni for hyperbolic surfaces, continued in [DFG15] for …