44 citations · 148 across the 28 of their papers we have counts for
12 papers · 1 filter
Resonances on geometrically finite graphs
Christian Arends, Carsten Peterson, Tobias Weich
In analogy with the spectral theory of geometrically finite hyperbolic manifolds, we initiate the study of resonances on geometrically finite (q+1)-regular graphs of groups. We pro…
Spectral correspondences for finite graphs without dead ends
Kai-Uwe Bux, Joachim Hilgert, Tobias Weich
We compare the spectral properties of two kinds of linear operators characterizing the (classical) geodesic flow and its quantization on connected locally finite graphs without dea…
Temperedness of locally symmetric spaces: The product case
Tobias Weich, Lasse L. Wolf
Let be a product of two rank one symmetric spaces of non-compact type and a torsion-free discrete subgroup in . We show that the spectrum of $Γ…
Absence of principal eigenvalues for higher rank locally symmetric spaces
Tobias Weich, Lasse Lennart Wolf
Given a geometrically finite hyperbolic surface of infinite volume it is a classical result of Patterson that the positive Laplace-Beltrami operator has no -eigenvalues $\geq…
Poisson Transforms for Trees of Bounded Degree
Kai-Uwe Bux, Joachim Hilgert, Tobias Weich
We introduce a parameterized family of Poisson transforms on trees of bounded degree, construct explicit inverses for generic parameters, and characterize moderate growth of Laplac…
Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature
Martin Kolb, Tobias Weich, Lasse Lennart Wolf
The kinetic Brownian motion on the sphere bundle of a Riemannian manifold is a stochastic process that models a random perturbation of the geodesic flow. If is a orientable…