Scholarlink

<p>For general large non–Hermitian random matrices <i>X</i> and deterministic normal deformations <i>A</i>, we prove that the local eigenvalue statistics of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="440_2025_1384_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="51" /> </InlineMediaObject> <EquationSource Format="TEX">\(A+X\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>A</mi> <mo>+</mo> <mi>X</mi> </mrow> </math></EquationSource> </InlineEquation> close to the critical edge points of its spectrum are universal. This concludes the proof of the third and last remaining typical universality class for non–Hermitian random matrices (for normal deformations), after bulk and sharp edge universalities have been established in recent years.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Non–Hermitian spectral universality at critical points

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年5月19日

查看全文
  • Giorgio Cipolloni,
  • László Erdős,
  • Hong Chang Ji

摘要

For general large non–Hermitian random matrices X and deterministic normal deformations A, we prove that the local eigenvalue statistics of \(A+X\) A + X close to the critical edge points of its spectrum are universal. This concludes the proof of the third and last remaining typical universality class for non–Hermitian random matrices (for normal deformations), after bulk and sharp edge universalities have been established in recent years.