K Fedosova, A Pohl - Selecta Mathematica, 2020 - Springer
We initiate the study of Selberg zeta functions Z_ Γ, χ Z Γ, χ for geometrically finite Fuchsian groups Γ Γ and finite-dimensional representations χ χ with non-expanding cusp monodromy …
S Shen - International Mathematics Research Notices, 2023 - academic.oup.com
We show that the Ruelle dynamical zeta function on a closed odd dimensional locally symmetric space twisted by an arbitrary flat vector bundle has a meromorphic extension to …
S Shen - Communications in Mathematical Physics, 2021 - Springer
We show an equality between the analytic torsion and the absolute value at zero of the Ruelle dynamical zeta function on a closed odd dimensional locally symmetric space twisted …
Let X be an orientable compact connected hyperbolic surface of genus g. In this paper, we prove that the twisted Selberg and Ruelle zeta functions, associated with an arbitrary finite …
W Müller - The Journal of Geometric Analysis, 2021 - Springer
This paper is concerned with the behavior of twisted Ruelle zeta functions of compact hyperbolic manifolds at the origin. Fried proved that for an orthogonal acyclic representation …
K Fedosova, A Pohl, J Rowlett - arXiv preprint arXiv:2201.04454, 2022 - arxiv.org
We provide Fourier expansions of vector-valued eigenfunctions of the hyperbolic Laplacian that are twist-periodic in a horocycle direction. The twist may be given by any endomorphism …
W Mueller - arXiv preprint arXiv:2005.01450, 2020 - arxiv.org
Fried's conjecture is concerned with the behavior of dynamical zeta functions at the origin. For compact hyperbolic manifolds, Fried proved that for an orthogonal acyclic representation …
Y Gong - arXiv preprint arXiv:2411.02929, 2024 - arxiv.org
We study the spectral distribution of damped waves on compact Anosov manifolds. Sj\" ostrand\cite {SJ1} proved that the imaginary parts of the majority of the eigenvalues …