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math.PR2026
Determinantal linear spanning forests
Adrien Kassel, Thierry Lévy
We introduce a determinantal linear process on the space of -forms over a weighted graph endowed with a unitary local system, which we call the determinantal linear spanning for…
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.PR2026
A combinatorial formula for Wilson loop expectations on compact surfaces
Thierry Lévy
We give an almost purely combinatorial expression for Wilson loop expectations of the Yang-Mills holonomy process with values in the unitary group on a compact oriented surface, po…