Bulk Universality for Complex Eigenvalues of Real Non-Symmetric Random Matrices with i.i.d. Entries

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2025-05-26 DOI:10.1007/s00023-025-01586-8

Sofiia Dubova, Kevin Yang

引用次数: 0

Abstract

We consider an ensemble of real non-symmetric matrices with independent identically distributed real entries that have finite moments. We show that its k-point correlation function in the bulk away from the real line converges to a universal limit. This complements the work [28], which also handles the case of real eigenvalue statistics.

查看原文本刊更多论文

具有id项的实非对称随机矩阵复特征值的整体通用性

考虑具有有限矩的独立同分布实数项的实数非对称矩阵的集合。我们证明了它的k点相关函数在远离实线的块上收敛到一个普遍极限。这补充了工作[28]，它也处理实特征值统计的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.