3 papers
math-ph2020
Tracy-Widom distributions for the Gaussian orthogonal and symplectic ensembles revisited: a skew-orthogonal polynomials approach
Anthony Mays, Anita Ponsaing, Gregory Schehr
We study the distribution of the largest eigenvalue in the "Pfaffian" classical ensembles of random matrix theory, namely in the Gaussian orthogonal (GOE) and Gaussian symplectic (…
math-ph2018
Determinantal polynomial wave functions induced by random matrices
Anthony Mays, Anita K. Ponsaing, David M. Paganin
Random-matrix eigenvalues have a well-known interpretation as a gas of like-charge particles. We make use of this to introduce a model of vortex dynamics by defining a time-depende…
math-ph2016
An induced real quaternion spherical ensemble of random matrices
Anthony Mays, Anita Ponsaing
We study the induced spherical ensemble of non-Hermitian matrices with real quaternion entries (considering each quaternion as a complex matrix). We define the ensemble…