9 citations · 15 across the 12 of their papers we have counts for
13 papers
Elliptic -Hurwitz theory and Jack heat trace
Thibaut Lemoine
We study a deformation of the central heat trace on obtained by deforming Schur polynomials to Jack polynomials, and prove that it admits an asymptotic expansion to…
Universality of two-dimensional Markovian holonomy fields
Thibaut Lemoine, Elias Nohra
We prove a universality theorem for a broad class of two-dimensional gauge theories on compact surfaces. Each admissible conjugation-invariant Lévy process on a compact connected L…
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,…
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…
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…
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…
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…
Gaussian measure on the dual of , random partitions, and topological expansion of the partition function
Thibaut Lemoine, Mylène Maïda
We study a Gaussian measure with parameter on the dual of the unitary group of size : we prove that a random highest weight under this measure is the coupling of two…
Almost flat highest weights and application to Wilson loops on compact surfaces
Thibaut Lemoine
We derive new formulas for the expectation and variance of Wilson loops for any contractible simple loop on a compact orientable surface of genus and higher, in the model of tw…
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…
Large N limit of the Yang-Mills measure on compact surfaces II: Makeenko-Migdal equations and planar master field
Antoine Dahlqvist, Thibaut Lemoine
This paper considers the large N limit of Wilson loops for the two-dimensional Euclidean Yang-Mills measure on all orientable compact surfaces of genus larger or equal to one, with…
Large N limit of Yang-Mills partition function and Wilson loops on compact surfaces
Antoine Dahlqvist, Thibaut Lemoine
We compute the Large N limit of several objects related to the two-dimensional Euclidean Yang-Mills measure on compact connected orientable surfaces of genus larger or equal to one…
Large behaviour of the two-dimensional Yang-Mills partition function
Thibaut Lemoine
We compute the large N limit of the partition function of the Euclidean Yang--Mills measure with structure group SU(N) or U(N) on all closed compact surfaces, orientable or not, ex…