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arXiv · 1104.2272

Universality of General $\beta$-Ensembles

Paul Bourgade·Laszlo Erdos·Horng-Tzer Yau
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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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Paul Bourgade, Laszlo Erdos, Horng-Tzer Yau. 2011-04-12. Universality of General $\beta$-Ensembles. https://doi.org/10.1215/00127094-2649752

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