Anas A. Rahman

activity

20172020

most citedLarge

N

expansions for the Laguerre and Jacobi

β

ensembles from the loop equations

23 citations · 23 across the 1 of their papers we have counts for

collaborators

3 papers

math-ph2020

Relations between moments for the Jacobi and Cauchy random matrix ensembles

Peter J. Forrester, Anas A. Rahman

We outline a relation between the densities for the $β$ -ensembles with respect to the Jacobi weight $(1 - x)^{a} (1 + x)^{b}$ supported on the interval $(- 1, 1)$ and the Cauchy weight $(1-\m…

math-ph2019

Linear Differential Equations for the Resolvents of the Classical Matrix Ensembles

Anas A. Rahman, Peter J. Forrester

The spectral density for random matrix $β$ ensembles can be written in terms of the average of the absolute value of the characteristic polynomial raised to the power of $β$ , which…

math-ph2017★ 23 cited

Large $N$ expansions for the Laguerre and Jacobi $β$ ensembles from the loop equations

Peter J. Forrester, Anas A. Rahman, Nicholas S. Witte

The $β$ -ensembles of random matrix theory with classical weights have many special properties. One is that the loop equations specifying the resolvent and corresponding multipoint…