Gaussian Beta Ensembles at High Temperature: Eigenvalue Fluctuations and Bulk Statistics

Fumihiko Nakano, Khanh Duy Trinh

研究成果: Article査読

12 被引用数 (Scopus)

抄録

We study the limiting behavior of Gaussian beta ensembles in the regime where βn= const as n→ ∞. The results are (1) Gaussian fluctuations for linear statistics of the eigenvalues, and (2) Poisson convergence of the bulk statistics. (2) is an alternative proof of the result by Benaych-Georges and Péché (J Stat Phys 161(3):633–656, 2015) with the explicit form of the intensity measure.

本文言語English
ページ(範囲)295-321
ページ数27
ジャーナルJournal of Statistical Physics
173
2
DOI
出版ステータスPublished - 2018 10 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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