5 papers
A positive formula for volumes of moduli spaces of flat unitary connections on compact surfaces
Quentin François, David GarcÃa-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…
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…
Asymptotic analysis of the characteristic polynomial for the Elliptic Ginibre Ensemble
Quentin François, David GarcÃa-Zelada
We consider the complex Elliptic Ginibre Ensemble, a family of random matrix models introduced by Girko that interpolates between the Ginibre Ensemble and the Gaussian Unitary Ense…
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…
Positive formula for the product of conjugacy classes on the unitary group
Quentin François, Pierre Tarrago
The convolution product of two conjugacy classes of the unitary group is described by a probability distribution on the space of central measures. Relating this convolution t…