6 citations · 30 across the 19 of their papers we have counts for
10 papers · 1 filter
Selberg zeta functions, cuspidal accelerations, and existence of strict transfer operator approaches
Anke Pohl, Paul Wabnitz
For geometrically finite non-compact developable hyperbolic orbisurfaces (including those of infinite volume), we provide transfer operator families whose Fredholm determinants are…
Symbolic dynamics and transfer operators for Weyl chamber flows: a class of examples
Anke Pohl
We provide special cross sections for the Weyl chamber flow on a sample class of Riemannian locally symmetric spaces of higher rank, namely the direct product spaces of Schottky su…
Dynamics of geodesics, and Maass cusp forms
A. Pohl, D. Zagier
The correspondence principle in physics between quantum mechanics and classical mechanics suggests deep relations between spectral and geometric entities of Riemannian manifolds. W…
A thermodynamic formalism approach to the Selberg zeta function for Hecke triangle surfaces of infinite area
Anke D. Pohl
We provide an explicit construction of a cross section for the geodesic flow on infinite-area Hecke triangle surfaces which allows us to conduct a transfer operator approach to the…
A dynamical approach to Maass cusp forms
Anke D. Pohl
For nonuniform cofinite Fuchsian groups which satisfy a certain additional geometric condition, we show that the Maass cusp forms for are isomorphic to 1-eigenfunctions of…
Period functions for Maass cusp forms for : a transfer operator approach
Anke D. Pohl
We characterize the Maass cusp forms for Hecke congruence subgroups of prime level as 1-eigenfunctions of a finite-term transfer operator.