Universality of General $β$-Ensembles

Published 12 Apr 2011 in math.PR, math-ph, and math.MP | (1104.2272v5)

Abstract: 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.

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