193 citations · 2.8k across the 159 of their papers we have counts for
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Local central limit theorem for real eigenvalue fluctuations of elliptic GinOE matrices
Peter J. Forrester
Random matrices from the elliptic Ginibre orthogonal ensemble (GinOE) are a certain linear combination of a real symmetric, and real anti-symmetric, real Gaussian random matrices a…
Spherical Induced Ensembles with Symplectic Symmetry
Sung-Soo Byun, Peter J. Forrester
We consider the complex eigenvalues of the induced spherical Ginibre ensemble with symplectic symmetry and establish the local universality of these point processes along the real…
The classical -ensembles with proportional to : from loop equations to Dyson's disordered chain
Peter J. Forrester, Guido Mazzuca
In the classical -ensembles of random matrix theory, setting and taking the limit gives a statistical state depending on . Using the loop equations…
Phase transitions for products of characteristic polynomials under Dyson Brownian motion
Peter J. Forrester, Dang-Zheng Liu
We study the averaged products of characteristic polynomials for the Gaussian and Laguerre -ensembles with external source, and prove Pearcey-type phase transitions for particul…
Cyclic Pólya Ensembles on the Unitary Matrices and their Spectral Statistics
Mario Kieburg, Shi-Hao Li, Jiyuan Zhang +1
The framework of spherical transforms and Pólya ensembles is of utility in deriving structured analytic results for sums and products of random matrices in a unified way. In the pr…
Lyapunov exponents for some isotropic random matrix ensembles
P. J. Forrester, Jiyuan Zhang
A random matrix with rows distributed as a function of their length is said to be isotropic. When these distributions are Gaussian, beta type I, or beta type II, previous work has,…