5 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…
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…
Moments of characteristic polynomials for classical ensembles
Bo-Jian Shen, Peter J. Forrester
For random matrix ensembles with unitary symmetry, there is interest in the large form of the moments of the absolute value of the characteristic polynomial for their relevance…
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…