1 citations · 1 across the 4 of their papers we have counts for
7 papers
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…