4 papers
Spectra of Lorentzian quasi-Fuchsian manifolds
Benjamin Delarue, Colin Guillarmou, Daniel Monclair
A three-dimensional quasi-Fuchsian Lorentzian manifold is a globally hyperbolic spacetime diffeomorphic to for a closed orientable surface of genus $\geq…
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…
Locally homogeneous Axiom A flows II: geometric structures for Anosov subgroups
Benjamin Delarue, Daniel Monclair, Andrew Sanders
Given a non-compact semisimple real Lie group and an Anosov subgroup , we utilize the correspondence between -valued additive characters on Levi subgroups of…
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…