3 papers
math.PR2026
A positive formula for volumes of moduli spaces of flat unitary connections on compact surfaces
Quentin François, David García-Zelada, Thierry Lévy +1
We provide a manifestly positive expression for the volume of the moduli spaces of flat -valued connections on punctured compact oriented surfaces. This volume is ob…
math.CO2025
Characteristic polynomial of generalized Ewens random permutations
Quentin François
We show the convergence of the characteristic polynomial for random permutation matrices sampled from the generalized Ewens distribution. Under this distribution, the measure of a…
math.CO2024
Enumeration of crossings in two-step puzzles
Quentin François
We prove a formula which gives the number of occurrences of certain labels and local configurations inside two-step puzzles introduced by Buch, Kresch, Purbhoo and Tamvakis from th…