[HTML][HTML] Twisted Ruelle zeta function at zero for compact hyperbolic surfaces
J Frahm, P Spilioti - Journal of Number Theory, 2023 - Elsevier
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 …
prove that the twisted Selberg and Ruelle zeta functions, associated with an arbitrary finite …
On some geometrical applications of the spectral theory of hyperbolic flows
Y Chaubet - 2022 - theses.hal.science
In dynamical systems, one of the main objects or quantities that have been studied are the
periodic orbits and their periods. In this thesis we make use of certain dynamical zeta …
periodic orbits and their periods. In this thesis we make use of certain dynamical zeta …
[PDF][PDF] Sur quelques applications géométriques de la théorie spectrale des flots hyperboliques
Y Chaubet - 2022 - yannchaubet.github.io
Cette thèse porte sur certaines séries dynamiques associées à des systèmes
hyperboliques. Ces derniers participent des systèmes dits chaotiques—fortement récurrents …
hyperboliques. Ces derniers participent des systèmes dits chaotiques—fortement récurrents …
Twisted Ruelle zeta function on hyperbolic manifolds and complex-valued analytic torsion
P Spilioti - arXiv preprint arXiv:2004.13474, 2020 - arxiv.org
In this paper, we study the twisted Ruelle zeta function associated with the geodesic flow of
a compact, hyperbolic, odd-dimensional manifold $ X $. The twisted Ruelle zeta function is …
a compact, hyperbolic, odd-dimensional manifold $ X $. The twisted Ruelle zeta function is …