22 citations · 34 across the 7 of their papers we have counts for
7 papers
On The Douglas-Kazakov Phase Transition
Thierry Lévy, Mylene Maida
We give a rigorous proof of the fact that a phase transition discovered by Douglas and Kazakov in 1993 in the context of two-dimensional gauge theories occurs. This phase transitio…
The master field on the plane
Thierry Lévy
We study the large N asymptotics of the Brownian motions on the orthogonal, unitary and symplectic groups, extend the convergence in non-commutative distribution originally obtaine…
Prefixes of minimal factorisations of a cycle
Thierry Lévy
We give a bijective proof of the fact that the number of k-prefixes of minimal factorisations of the n-cycle (1...n) as a product of n-1 transpositions is n^{k-1}\binom{n}{k+1}. Ra…
Discrete and continuous Yang-Mills measure for non-trivial bundles over compact surfaces
Thierry Levy
We construct one Yang-Mills measure on a compact surface for each isomorphism class of principal bundles over this surface. For this, we define a new discrete gauge theory which is…
Large deviations for the Yang-Mills measure on a compact surface
Thierry Lévy, James R. Norris
We prove the first mathematical result relating the Yang-Mills measure on a compact surface and the Yang-Mills energy. We show that, at the small volume limit, the Yang-Mills measu…
Wilson loops in the light of spin networks
Thierry Levy
When G is a product of orthogonal, unitary and symplectic groups, we show that the Wilson loops generate a dense subalgebra of continuous observables on the configuration space of…
Yang-Mills measure on compact surfaces
Thierry Levy
We construct and study the Yang-Mills measure in two dimensions. According to the informal description given by the physicists, it is a probability measure on the space of connecti…