Polyxeni Spilioti

collaborators

3 papers

math.SP2026

Asymptotics of the spectral determinant of the weighted Laplacian for a sequence of compact Riemann surfaces of infinitely growing volume

Jay Jorgenson, Lejla Smajlovic, Polyxeni Spilioti

Let $(X, χ, k)$ be a triple consisting of a smooth, compact hyperbolic Riemann surface $X$ of genus $g$ , and an $m$ dimensional unitary multiplier system $χ$ of admissible weight $k$ …

math.NT2026

Twisted dynamical zeta functions and the Fried's conjecture

Polyxeni Spilioti

This is a survey article on the twisted dynamical zeta functions of Ruelle and Selberg and the Fried's conjecture. It is based on the mini-course: "Twisted Ruelle zeta function, co…

math.SP2025

Determinants of twisted Laplacians and the twisted Selberg zeta function

Jay Jorgenson, Lejla Smajlovic, Polyxeni Spilioti

Let $X$ be an orbisurface, meaning a compact hyperbolic Riemann surface possibly with a finite number of elliptic points, and let $X_{1}$ denote its unit tangent bundle. We consider…