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19982026
most citedEigenvalue statistics of the real Ginibre ensemble

169 citations · 1.1k across the 36 of their papers we have counts for

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math-ph2026

Asymptotic correlation functions of Coulomb gases on an annulus

Taro Nagao

Two-dimensional Coulomb gases on an annulus at a special inverse temperature are studied by using the orthogonal polynomial method borrowed from the theory of random matrice…

math-ph2024★ 1 cited

Two-Dimensional Coulomb Gas on an Elliptic Annulus

Taro Nagao

It is well-known that two-dimensional Coulomb gases at a special inverse temperature can be analyzed by using the orthogonal polynomial method borrowed from the theory of ra…

math-ph2019★ 5 cited

Gegenbauer and other planar orthogonal polynomials on an ellipse in the complex plane

G. Akemann, T. Nagao, I. Parra +1

We show that several families of classical orthogonal polynomials on the real line are also orthogonal on the interior of an ellipse in the complex plane, subject to a weighted pla…

math-ph2019★ 12 cited

Families of two-dimensional Coulomb gases on an ellipse: correlation functions and universality

Taro Nagao, Gernot Akemann, Mario Kieburg +1

We investigate a one-parameter family of Coulomb gases in two dimensions, which are confined to an ellipse, due to a hard wall constraint, and are subject to an additional external…

math-ph2013★ 50 cited

Universal microscopic correlation functions for products of truncated unitary matrices

Gernot Akemann, Zdzislaw Burda, Mario Kieburg +1

We investigate the spectral properties of the product of complex non-Hermitian random matrices that are obtained by removing rows and columns of larger unitary random matri…

math-ph2011★ 38 cited

Random Matrix Theory for the Hermitian Wilson Dirac Operator and the chGUE-GUE Transition

Gernot Akemann, Taro Nagao

We introduce a random two-matrix model interpolating between a chiral Hermitian (2n+nu)x(2n+nu) matrix and a second Hermitian matrix without symmetries. These are taken from the ch…