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math.DS2021★ 1 cited
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…
math.DS2020★ 12 cited
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…