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math.PR2026
Singular central limit theorems for the spherical ensemble and beyond
Djalil Chafaï, David García-Zelada, Yuan Yuan Xu
We study the fluctuations of logarithmic Green singularities in the spherical ensemble, viewed as a random discretization of the two-sphere. Smooth observables exhibit the usual So…
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…