3 papers
math.PR2026
Asymptotic expansion for transport maps between laws of multimatrix models
David Jekel, Evangelos A. Nikitopoulos, Félix Parraud
We study the large- behavior of random matrix tuples with joint density proportional to for some convex function in non-commuting va…
math.OA2025
A Haagerup inequality through the use of orthogonal polynomials
Félix Parraud
In this paper we prove that the Haagerup inequality for non-homogeneous polynomials in free semicircular variables of degree is optimal with a constant of order . We a…
math.PR2025
The free energy of matrix models
Félix Parraud, Kevin Schnelli
In this paper we study multi-matrix models whose potentials are perturbations of the quadratic potential associated with independent GUE random matrices. More precisely, we compute…