Large N expansions for the Laguerre and Jacobi β-ensembles from the loop equations
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 …
properties. One is that the loop equations specifying the resolvent and corresponding …
Functional form for the leading correction to the distribution of the largest eigenvalue in the GUE and LUE
PJ Forrester, AK Trinh - Journal of Mathematical Physics, 2018 - pubs.aip.org
The neighbourhood of the largest eigenvalue λ max in the Gaussian unitary ensemble
(GUE) and Laguerre unitary ensemble (LUE) is referred to as the soft edge. It is known that …
(GUE) and Laguerre unitary ensemble (LUE) is referred to as the soft edge. It is known that …