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2 hasil untuk "Angermann, Georg"

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  1. Preprint Teks lengkap

    Derivative relations for determinants, Pfaffians and characteristic polynomials in random matrix theory

    Akemann, Gernot; Angermann, Georg; Kieburg, Mario dkk.

    arXiv · 2026 · Inggris · arXiv

    Explicit expressions are proven for derivatives of the ratio of a determinant or Pfaffian determinant and a Vandermonde determinant. Such ratios appear for example in general group integrals of Harish-Chandra--Itzykson--Zuber type and in expectation values of products of characteristic polynomials…

  2. Preprint Teks lengkap

    Three non-Hermitian random matrix universality classes of complex edge statistics: Spacing ratios and distributions

    Akemann, Gernot; Angermann, Georg; Aygün, Noah dkk.

    arXiv · 2026 · Inggris · arXiv

    The conjectured three generic local bulk statistics amongst all non-Hermitian random matrix symmetry classes have recently been extended to three generic local edge statistics. We study analytically and numerically complex spacing ratios and nearest-neighbour (NN) spacing distributions that…