Universality of General $β$-Ensembles

Details Universality of General $β$-Ensembles Universality of General $β$-Ensembles

2011-04-12

arxiv.org/abs/1104.2272v5

Mathematics

Probability

Sep 21, 2011: Lemma 3.9 was corrected. Feb 5: Some typos in Lemma 5.9 were corrected

Scientific paper

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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