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 …

Given an acyclic and unitarily flat vector bundle on a closed manifold, Fried conjectured an
equality between the analytic torsion and the value at zero of the Ruelle zeta function …

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 …

Let $ X $ be a compact hyperbolic surface with finite order singularities, $ X_1 $ its unit
tangent bundle. We consider the Ruelle zeta function $ R (s;\rho) $ associated to a …

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 …

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 …

Cette thèse porte sur certaines séries dynamiques associées à des systèmes
hyperboliques. Ces derniers participent des systèmes dits chaotiques—fortement récurrents …

La théorie quantique des champs est une théorie qui a pour object de décrire les
interactions entres particules élémentaires. De façon analogue, la mécanique quantique est …