34 citations · 176 across the 15 of their papers we have counts for
15 papers
Asymptotics for a class of planar orthogonal polynomials and truncated unitary matrices
Alfredo Deaño, Kenneth T-R McLaughlin, Leslie Molag +1
We carry out the asymptotic analysis as of a class of orthogonal polynomials of degree , defined with respect to the planar measure \begin{equation*} d…
Large deviations and fluctuations of real eigenvalues of elliptic random matrices
Sung-Soo Byun, Leslie Molag, Nick Simm
We study real eigenvalues of real elliptic Ginibre matrices indexed by a non-Hermiticity parameter , in both the strong and weak non-Hermiticity regime. Here…
Characteristic polynomials of random truncations: moments, duality and asymptotics
Alexander Serebryakov, Nick Simm, Guillaume Dubach
We study moments of characteristic polynomials of truncated Haar distributed matrices from the three classical compact groups O(N), U(N) and Sp(2N). For finite matrix size we calcu…
Fluctuations and correlations for products of real asymmetric random matrices
Will FitzGerald, Nick Simm
We study the real eigenvalue statistics of products of independent real Ginibre random matrices. These are matrices all of whose entries are real i.i.d. standard Gaussian random va…
On the number of real eigenvalues of a product of truncated orthogonal random matrices
Alex Little, Francesco Mezzadri, Nick Simm
Let be chosen uniformly at random from the group of orthogonal matrices. Denote by the upper-left corner of , which we refer to…
Secular Coefficients and the Holomorphic Multiplicative Chaos
Joseph Najnudel, Elliot Paquette, Nick Simm
We study the secular coefficients of random unitary matrices drawn from the Circular -Ensemble, which are defined as the coefficients of in the ch…