1104.2272 (Paul Bourgade et al.)

Universality of General $β$-Ensembles    [PDF]

Paul Bourgade, Laszlo Erdos, Horng-Tzer Yau

We prove the universality of the $\beta$-ensembles with convex analytic
potentials and for any $\beta>0$, i.e. we show that the spacing distributions
of log-gases at any inverse temperature $\beta$ coincide with those of the
Gaussian $\beta$-ensembles.

View original: http://arxiv.org/abs/1104.2272