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20152025
most citedThe twisted Selberg trace formula and the Selberg zeta function for compact orbifolds

6 citations · 14 across the 13 of their papers we have counts for

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9 papers · 1 filter

math.SP2023★ 1 cited

Casimir energy of hyperbolic orbifolds with conical singularities

Ksenia Fedosova, Julie Rowlett, Genkai Zhang

In this article, we obtain the explicit expression of the Casimir energy for 2-dimensional Clifford-Klein space forms in terms of the geometrical data of the underlying spacetime w…

math.SP2022

Scattering Theory with Unitary Twists

Moritz Doll, Ksenia Fedosova, Anke Pohl

We study the spectral properties of the Laplace operator associated to a hyperbolic surface in the presence of a unitary representation of the fundamental group. Following the appr…

math.SP2021

Counting Resonances on Hyperbolic Surfaces with Unitary Twists

Moritz Doll, Ksenia Fedosova, Anke Pohl

We present the Laplace operator associated to a hyperbolic surface and a unitary representation of the fundamental group , extending the previous definiti…

math.SP2017★ 1 cited

Second variation of Selberg zeta functions and curvature asymptotics

Ksenia Fedosova, Julie Rowlett, Genkai Zhang

We give an explicit formula for the second variation of the logarithm of the Selberg zeta function, , on Teichmüller space. We then use this formula to determine the asymptot…

math.SP2017

Eisenstein series twisted with non-expanding cusp monodromies

Ksenia Fedosova, Anke Pohl

Let be a geometrically finite Fuchsian group and suppose that is a finite-dimensional representation with non-expanding cusp monodromy. We show that…

math.SP2017

Meromorphic continuation of Selberg zeta functions with twists having non-expanding cusp monodromy

Ksenia Fedosova, Anke Pohl

We initiate the study of Selberg zeta functions for geometrically finite Fuchsian groups and finite-dimensional representations with non-expanding cusp monodromy.…

math.SP2016

Analytic torsion of finite volume hyperbolic orbifolds

Ksenia Fedosova

In this article we define the analytic torsion of finite volume orbifolds and study its asymptotic behavior with respect to certain rays of represen…

math.SP2015★ 5 cited

On the asymptotics of the analytic torsion for compact hyperbolic orbifolds

Ksenia Fedosova

We study the analytic torsion of odd-dimensional hyperbolic orbifolds , depending on a representation of . Our main goal is to understand the asym…

math.SP2015★ 6 cited

The twisted Selberg trace formula and the Selberg zeta function for compact orbifolds

Ksenia Fedosova

We study elements of the spectral theory of compact hyperbolic orbifolds . We establish a version of the Selberg trace formula for non-unitary represent…