147 citations · 236 across the 17 of their papers we have counts for
4 papers · 1 filter
A generalized plasma and interpolation between classical random matrix ensembles
Peter J. Forrester, Christopher D. Sinclair
The eigenvalue probability density functions of the classical random matrix ensembles have a well known analogy with the one component log-gas at the special couplings β= 1,2 and 4…
Ensemble Averages when βis a Square Integer
Christopher D. Sinclair
We give a hyperpfaffian formulation of partition functions and ensemble averages for Hermitian and circular ensembles when L is an arbitrary integer and β=L^2 and when L is an odd…
A Solvable Mixed Charge Ensemble on the Line: Global Results
Brian Rider, Christopher D. Sinclair, Yuan Xu
We consider an ensemble of interacting charged particles on the line consisting of two species of particles with charge ratio 2 : 1 in the presence of the harmonic oscillator poten…
Equidistribution of Algebraic Numbers of Norm One in Quadratic Number Fields
Kathleen L. Petersen, Christopher D. Sinclair
Given a fixed quadratic extension K of Q, we consider the distribution of elements in K of norm 1 (denoted N). When K is an imaginary quadratic extension, N is naturally embedded i…