1307.3698 (Mira Shamis)

Density of states for GUE and GOE through supersymmetric approach    [PDF]

Mira Shamis

We use the supersymmetric formalism to derive an integral formula for the density of states of the Gaussian Orthogonal Ensemble, and then apply saddle-point analysis to give a new derivation of the 1/N-correction to Wigner's law. This extends the work of Disertori on the Gaussian Unitary Ensemble.

View original: http://arxiv.org/abs/1307.3698