1 citations · 3 across the 13 of their papers we have counts for
17 papers
Large expansions of the partition function for Coulomb systems on the surface of a cylinder
Bo-Jian Shen, Peter J. Forrester
The two-dimensional one-component plasma forms a droplet in the case that the one-body potential is proportional to the number of charges. Our interest is in studying the large …
Difference equations of average entropies
Youyi Huang, Linfeng Wei, Lu Wei +1
Exact cumulants of entanglement entropies of random state ensembles have traditionally been studied within the random matrix framework. In this work, we propose an alternative appr…
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…
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…
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…
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 theory…
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…
Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall
Matthias Allard, Peter J. Forrester, Sampad Lahiry +1
The large asymptotic expansion of the partition function for the normal matrix model is predicted to have special features inherited from its interpretation as a two-dimensiona…
On the superintegrability of the Gaussian ensemble and its generalisation
Sung-Soo Byun, Peter J. Forrester
In the present context, superintegrability is a property of certain probability density functions coming from matrix models, which relates to the average over a distinguished basis…
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 ei…
Orthogonal polynomials in the spherical ensemble with two insertions
Sung-Soo Byun, Peter J. Forrester, Arno B. J. Kuijlaars +1
We consider asymptotics of planar orthogonal polynomials (where ) with respect to the weight $$\frac{|z-w|^{2NQ_1}}{(1+|z|^2)^{N(1+Q_0+Q_1)+1}}, \q…
Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges
Sung-Soo Byun, Peter J. Forrester, Sampad Lahiry
The one-component Coulomb gas on the sphere, consisting on unit charges interacting via a logarithmic potential, and in the presence of two external charges each of strength pr…
Computing marginal eigenvalue distributions for the Gaussian and Laguerre orthogonal ensembles
Peter J. Forrester, Santosh Kumar, Bo-Jian Shen
The Gaussian and Laguerre orthogonal ensembles are fundamental to random matrix theory, and the marginal eigenvalue distributions are basic observable quantities. Notwithstanding a…
-deformed Gaussian unitary ensemble: spectral moments and genus-type expansions
Sung-Soo Byun, Peter J. Forrester, Jaeseong Oh
The eigenvalue probability density function of the Gaussian unitary ensemble permits a -extension related to the discrete -Hermite weight and corresponding -orthogonal pol…
Computation of marginal eigenvalue distributions in the Laguerre and Jacobi ensembles
Peter J. Forrester, Santosh Kumar
We consider the problem of the exact computation of the marginal eigenvalue distributions in the Laguerre and Jacobi ensembles. In the case this is a question of long sta…
On Efficient Sampling Schemes for the Eigenvalues of Complex Wishart Matrices
Peter J. Forrester
The paper "An efficient sampling scheme for the eigenvalues of dual Wishart matrices", by I.~Santamaría and V.~Elvira, [\emph{IEEE Signal Processing Letters}, vol.~28, pp.~2177--21…
Spectral Moments of the real Ginibre ensemble
Sung-Soo Byun, Peter J. Forrester
The moments of the real eigenvalues of real Ginibre matrices are investigated from the viewpoint of explicit formulas, differential and difference equations, and large expansio…