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math.SP2023★ 3 cited
Resonances and residue operators for pseudo-Riemannian hyperbolic spaces
Jan Frahm, Polyxeni Spilioti
For any pseudo-Riemannian hyperbolic space over or , we show that the resolvent of the Lapl…
math.SP2021★ 1 cited
The twisted Ruelle zeta function on compact hyperbolic orbisurfaces and Reidemeister-Turaev torsion
Léo Bénard, Jan Frahm, Polyxeni Spilioti
Let be a compact hyperbolic surface with finite order singularities, its unit tangent bundle. We consider the Ruelle zeta function associated to a representation…
math.SP2021★ 6 cited
Twisted Ruelle zeta function at zero for compact hyperbolic surfaces
Jan Frahm, Polyxeni Spilioti
Let be a compact, hyperbolic surface of genus . In this paper, we prove that the twisted Selberg and Ruelle zeta functions, associated with an arbitrary, finite-dimens…