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math.SP2026
Patterson-Sullivan and Wigner distributions of convex-cocompact hyperbolic surfaces
Benjamin Delarue, Guendalina Palmirotta
We prove that the Patterson-Sullivan and Wigner distributions on the unit sphere bundle of a convex-cocompact hyperbolic surface are asymptotically identical. This generalizes resu…
math.SP2024
Quantum resonances and scattering poles of classical rank one locally symmetric spaces
Benjamin Delarue, Joachim Hilgert
For negatively curved symmetric spaces it is known from [Hansen-Hilgert-Parthasarathy,2019] that the poles of the scattering matrices defined via the standard intertwining operator…