Publication: Universality of general β-ensembles
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Date
2014
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Duke University Press
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Bourgade, Paul, László Erdős, and Horng-Tzer Yau. 2014. “Universality of General β-ensembles.” Duke Mathematical Journal 163 (6) (April): 1127–1190. doi:10.1215/00127094-2649752.
Abstract
We prove the universality of the β-ensembles with convex analytic potentials and for any β>0; that is, we show that the spacing distributions of log-gases at any inverse temperature β coincide with those of the Gaussian β-ensembles.
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