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<p>We consider an ensemble of real non-symmetric matrices with independent identically distributed real entries that have finite moments. We show that its <i>k</i>-point correlation function in the bulk away from the real line converges to a universal limit. This complements the work [<CitationRef CitationID="CR28">28</CitationRef>], which also handles the case of real eigenvalue statistics.</p>

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

  • 期刊论文

  • 发表日期：

    2025年5月26日

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  • Sofiia Dubova,
  • Kevin Yang

摘要

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.