32 citations · 59 across the 12 of their papers we have counts for
12 papers · 1 filter
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…
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…
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…
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…
On the mean projection theorem for determinantal point processes
Adrien Kassel, Thierry Lévy
In this short note, we extend to the continuous case a mean projection theorem for discrete determinantal point processes associated with a finite range projection, thus strengthen…
Two-dimensional quantum Yang-Mills theory and the Makeenko-Migdal equations
Thierry Lévy
These notes, echoing a conference given at the Strasbourg-Zurich seminar in October 2017, are written to serve as an introduction to 2-dimensional quantum Yang-Mills theory and to…