Universality of general βensembles

Paul Bourgade, László Erdõs, Horng Tzer Yau

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)1127-1190
Number of pages64
JournalDuke Mathematical Journal
Issue number6
StatePublished - Apr 2014

ASJC Scopus subject areas

  • General Mathematics


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