4 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 real reductive group , we construct a natural resonance spectrum associated with the representation. This spectrum is a complex…
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…