Simulation of the mean density of states for the Gaussian, Laguerre e Jacobi alpha ensemble.
The code just simulate the eigenvalues' distribution of the alpha ensembles, for a reference regardin the alpha ensemble look at [1]
The python code Gaussian_fix.py simulate the distribution for the Gaussian alpha ensemble. The python code Laguerre_fix.py simulate the distribution for the Laguerre alpha ensemble. The python code Jacobi_fix.py simulate the distribution for the Jacobi alpha ensemble.
New: Simulation of the mean density of states for the Antisymmetric Gaussian beta ensemble in the high temperature regime, for a definition see [2].
The python code Antisym_Gaussian_ht.py simulate the eigenvalue distribution for the Antisymmetric Gaussian beta ensemble in the high temperature regime.
[1] G. Mazzuca: On the mean Density of States of some matrices related to the beta ensembles and an application to the Toda lattice. arXiv e-print 2008.04604 (2020).
[2] G. Mazzuca, and P.J. Forrester: The classical beta ensembles with beta proportional to 1/N: from loop equations to Dyson's disordered chain. arXiv e-print 2102.09201 (2021)