9 papers
Monte Carlo methods on compact complex manifolds using Bergman kernels
Thibaut Lemoine, Rémi Bardenet
In this paper, we propose a new randomized method for numerical integration on a compact complex manifold with respect to a continuous volume form. Taking for quadrature nodes a su…
The heat-kernel master field on at strong coupling
Thibaut Lemoine
We solve large- Yang--Mills theory on , for every , at strong coupling, for structure group and for the heat-kernel action. More precisely,…
The central heat trace on large compact classical groups
Thibaut Lemoine, Mylène Maïda
We study the large- asymptotics of the central trace of the heat kernel on compact classical groups. For every classical family $G_N\subset \mathrm{GL}_N(\C)$, we prove a full l…
Determinantal point processes on complex manifolds: Construction and limit theorems
Thibaut Lemoine
We develop a coordinate-free probabilistic framework for determinantal point processes associated with Bergman kernels on compact complex manifolds. The basic issue is that Bergman…
Universal dualities for Wilson loops in lattice Yang-Mills
Thibaut Lemoine
We identify a universal finite- structure underlying Wilson loop expectations in lattice Yang--Mills, in any dimension , for gauge group , and for arbitr…
Two-dimensional Yang-Mills theory via integrable probability
Thibaut Lemoine
In this paper, we review the construction and large study of the continuous two-dimensional Yang--Mills theory with gauge group through probability, combinatori…