28 citations · 147 across the 67 of their papers we have counts for
77 papers
Geometric zeta functions with non-unitary twists
Anton Deitmar
It is shown that the zeta functions of Ruelle and Selberg admit analytic continuation to meromorphic functions on the plane for every compact locally-symmetric space and every non-…
Benjamini-Schramm convergence and zeta functions
Anton Deitmar
In this note we show the equivalence of Benjamini-Schramm convergence and convergence of the zeta functions for compact hyperbolic surfaces.
Weighted prime geodesic theorems
Anton Deitmar
Prime geodesic theorems for weighted infinite graphs and weighted building quotients are given. The growth rates are expressed in terms of the spectral data of suitable translation…
Benjamini-Schramm and spectral convergence
Anton Deitmar
It is shown that under mild conditions, Benjamini-Schramm convergence of lattices in locally compact groups is equivalent to spectral convergence. Next both notions are extended to…
Invariant trilinear forms for SL(3,R)
Antonius Deitmar
We give a detailed analysis of the orbit structure of the third power of the flag variety attached to SL(3,R). It turns out that 36 generalized Schubert cells split into 70 orbits…
A prime Geodesic Theorem for SL3(Z)
Anton Deitmar, Yasuro Gon, Polyxeni Spilioti
We show a Prime Geodesic Theorem for the group SL3(Z), counting those geodesics whose lifts lie in the split Cartan subgroup. This is the first arithmetic Prime Geodesic Theorem of…