Anthony Mays

Finite size corrections relating to distributions of the length of longest increasing subsequences

PJ Forrester, A Mays

Journal article  |  2023  |  Advances in Applied Mathematics

Considered are the large N, or large intensity, forms of the distribution of the length of the longest increasing subsequences for..

Tracy-Widom Distributions for the Gaussian Orthogonal and Symplectic Ensembles Revisited: A Skew-Orthogonal Polynomials Approach

Anthony Mays, Anita Ponsaing, Gregory Schehr

Journal article  |  2021  |  JOURNAL OF STATISTICAL PHYSICS

We study the distribution of the largest eigenvalue in the “Pfaffian” classical ensembles of random matrix theory, namely in the G..

Determinantal polynomial wave functions induced by random matrices

Anthony Mays, Anita K Ponsaing, David M Paganin

Journal article  |  2018  |  PHYSICAL REVIEW A

Random-matrix eigenvalues have a well-known interpretation as a gas of like-charge particles. We make use of this to introduce a m..

Finite Size Effects for Spacing Distributions in Random Matrix Theory: Circular Ensembles and Riemann Zeros

Folkmar Bornemann, Peter J Forrester, Anthony Mays

Journal article  |  2017  |  Studies in Applied Mathematics

According to Dyson's threefold way, from the viewpoint of global time reversal symmetry, there are three circular ensembles of uni..

An induced real quaternion spherical ensemble of random matrices

Anthony Mays, Anita Ponsaing

Journal article  |  2017  |  RANDOM MATRICES-THEORY AND APPLICATIONS

We study the induced spherical ensemble of non-Hermitian matrices with real quaternion entries (considering each quaternion as a 2..

Finite-size corrections in random matrix theory and Odlyzko's dataset for the Riemann zeros

Peter J Forrester, Anthony Mays

Journal article  |  2015  |  PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Odlyzko has computed a dataset listing more than 109 successive Riemann zeros, starting from a zero number to beyond 1023. This da..

A Real Quaternion Spherical Ensemble of Random Matrices

Anthony Mays

Journal article  |  2013  |  Journal of Statistical Physics

Pfaffian point process for the Gaussian real generalised eigenvalue problem

Peter J Forrester, Anthony Mays

Journal article  |  2012  |  PROBABILITY THEORY AND RELATED FIELDS

The generalised eigenvalues for a pair of N × N matrices (X1, X2) are defined as the solutions of the equation det (X1 - λX2) = 0,..