10 papers
Edge density expansions for the classical Gaussian and Laguerre ensembles
Peter J. Forrester, Anas A. Rahman, Bo-Jian Shen
Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of Gaussian and Laguerre random mat…
A Note on Optimal Soft Edge Expansions for the Gaussian Ensembles
Peter J. Forrester, Anas A. Rahman, Bo-Jian Shen
We present some review material relating to the topic of optimal asymptotic expansions of correlation functions and associated observables for ensembles in random matrix theor…
Electrostatic computations for statistical mechanics and random matrix applications
Sung-Soo Byun, Peter J. Forrester
Although for the most part classical, the topic of electrostatics finds to this day new applications. In this review we highlight several theoretical results on electrostatics, cho…
Equilibrium measures for higher dimensional rotationally symmetric Riesz gases
Sung-Soo Byun, Peter J. Forrester, Satya N. Majumdar +1
We study equilibrium measures for Riesz gases in dimension with pairwise interaction kernel , subject to radially symmetric external fields. We characterise broad c…
Finite size corrections in the bulk for circular ensembles
Peter J. Forrester, Bo-Jian Shen
The circular ensemble for and 4 corresponds to circular orthogonal, unitary and symplectic ensemble respectively as introduced by Dyson. The statistical state of the…
Asymptotics of the real eigenvalue distribution for the real spherical ensemble
Peter J. Forrester
The real Ginibre spherical ensemble consists of random matrices of the form , where are independent standard real Gaussian matrices. The expected numbe…