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math.PR2026
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…
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…
math.PR2025
Determinantal random subgraphs
Adrien Kassel, Thierry Lévy
We define two families of determinantal random spanning subgraphs of a finite connected graph, one supported by acyclic spanning subgraphs (spanning forests) with fixed number of c…