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<p>We concentrate on large <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44198_2025_344_Article_IEq1.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="45" /> </InlineMediaObject> <EquationSource Format="TEX">\(n\times n\)</EquationSource> </InlineEquation> Hankel matrices generated by a deformed Gaussian weight. By employing an argument from Szegö [<CitationRef CitationID="CR15">15</CitationRef>] and utilizing the Coulomb fluid approach, we demonstrate the asymptotic behavior of the smallest eigenvalue of these Hankel matrices.</p>

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The Smallest Eigenvalue of Large Hankel Matrices Associated with a Deformed Gaussian Weight

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月20日

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  • Dan Wang

摘要

We concentrate on large \(n\times n\) Hankel matrices generated by a deformed Gaussian weight. By employing an argument from Szegö [15] and utilizing the Coulomb fluid approach, we demonstrate the asymptotic behavior of the smallest eigenvalue of these Hankel matrices.