Universality of General $\beta$-Ensembles
  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. 
Paul Bourgade, Laszlo Erdos, Horng-Tzer Yau
math.PR math-ph math.MP