Showing 2019Show all
2 papers · 1 filter
math-ph2019
Characteristic polynomials of complex random matrices and Painlevé transcendents
Alfredo Deaño, Nick Simm
We study expectations of powers and correlation functions for characteristic polynomials of non-Hermitian random matrices. For the -point and -point correlation…
math.CA2019
Ladder relations for a class of matrix valued orthogonal polynomials
Alfredo Deaño, Bruno Eijsvoogel, Pablo Román
Using the theory introduced by Casper and Yakimov, we investigate the structure of algebras of differential and difference operators acting on matrix valued orthogonal polynomials…