25 citations · 79 across the 10 of their papers we have counts for
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Finite size corrections relating to distributions of the length of longest increasing subsequences
Peter J. Forrester, Anthony Mays
Considered are the large , or large intensity, forms of the distribution of the length of the longest increasing subsequences for various models. Earlier work has established th…
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 (…
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…
Finite size effects for spacing distributions in random matrix theory: circular ensembles and Riemann zeros
Folkmar Bornemann, Peter J. Forrester, Anthony Mays
According to Dyson's three fold way, from the viewpoint of global time reversal symmetry there are three circular ensembles of unitary random matrices relevant to the study of chao…
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…
Finite size corrections in random matrix theory and Odlyzko's data set for the Riemann zeros
Peter J. Forrester, Anthony Mays
Odlyzko has computed a data set listing more than successive Riemann zeros, starting at a zero number beyond . The data set relates to random matrix theory since, a…