44 citations · 148 across the 28 of their papers we have counts for
10 papers · 1 filter
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…
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…
Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems
Sonja Barkhofen, Philipp Schütte, Tobias Weich
In this article we prove meromorphic continuation of weighted zeta functions in the framework of open hyperbolic systems by using the meromorphically continued restricted resolvent…
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…
Higher rank quantum-classical correspondence
Joachim Hilgert, Tobias Weich, Lasse L. Wolf
For a compact Riemannian locally symmetric space of arbitrary rank we determine the location of certain Ruelle-Taylor resonances for the Weyl chamber action. We p…
SRB measures for Anosov actions
Yannick Guedes Bonthonneau, Colin Guillarmou, Tobias Weich
Given a general Anosov action on a closed manifold, we study properties of certain invariant measures that have recently been introduced in \cite{BGHW20} using the t…