169 citations · 1.1k across the 36 of their papers we have counts for
36 papers
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…
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…
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…
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…
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…
Spectral Density of Complex Networks with Two Species of Nodes
Taro Nagao
The adjacency and Laplacian matrices of complex networks with two species of nodes are studied and the spectral density is evaluated by using the replica method in statistical phys…