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math-ph2016
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…
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…