12 citations · 13 across the 10 of their papers we have counts for
10 papers
Distributional zero divisors with full support
Benjamin Delarue
We show that every smooth manifold of positive dimension admits fully supported distributions with and…
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 2…
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…
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 I: projective Anosov subgroups and exponential mixing
Benjamin Delarue, Daniel Monclair, Andrew Sanders
By constructing a non-empty domain of discontinuity in a suitable homogeneous space, we prove that every torsion-free projective Anosov subgroup is the monodromy group of a locally…
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…
Singular cohomology of symplectic quotients by circle actions and Kirwan surjectivity
Benjamin Delarue, Pablo Ramacher, Maximilian Schmitt
Let be a symplectic manifold carrying a Hamiltonian -action with momentum map and consider the corresponding symplectic quotient $\mathcal{M}_…
A Riemann-Roch formula for singular reductions by circle actions
Benjamin Delarue, Louis Ioos, Pablo Ramacher
We compute a Hirzebruch-Riemann-Roch type formula for the invariant Riemann-Roch number of a quantizable Hamiltonian -manifold $(M,ω,\J)$, allowing to be a singular value…
Resonances and weighted zeta functions for obstacle scattering via smooth models
Benjamin Delarue, Philipp Schütte, Tobias Weich
We consider a geodesic billiard system consisting of a complete Riemannian manifold and an obstacle submanifold with boundary at which the trajectories of the geodesic flow experie…
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds
Mihajlo Cekić, Benjamin Delarue, Semyon Dyatlov +1
We show that for a generic conformal metric perturbation of a compact hyperbolic 3-manifold with Betti number , the order of vanishing of the Ruelle zeta function at zero…