44 citations · 148 across the 28 of their papers we have counts for
33 papers
Spectral theory for transfer operators on compact quotients of Euclidean buildings
Joachim Hilgert, Daniel Kahl, Tobias Weich
In this paper we generalize the geodesic flow on (finite) homogeneous graphs to a multiparameter flow on compact quotients of Euclidean buildings. Then we study the joint spectra o…
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…
The spectrum of Anosov representations
Yannick Guedes Bonthonneau, Thibault Lefeuvre, Tobias Weich
Given a -Anosov representation into a noncompact semisimple real algebraic group , where is a parabolic subgroup, we construct a natural resonance spectrum for the cl…
Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces
Christopher Lutsko, Tobias Weich, Lasse L. Wolf
Given a real semisimple connected Lie group and a discrete subgroup we prove a precise connection between growth rates of the group , polyhedral bounds on the joint s…
Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions
Philipp Schütte, Tobias Weich
We present a numerical algorithm for the computation of invariant Ruelle distributions on convex co-compact hyperbolic surfaces. This is achieved by exploiting the connection betwe…
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…