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arxiv: math-ph/0304016 · v1 · submitted 2003-04-10 · 🧮 math-ph · math.CA· math.MP· nlin.SI

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Products and Ratios of Characteristic Polynomials of Random Hermitian Matrices

Jinho Baik , Percy Deift , Eugene Strahov
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classification 🧮 math-ph math.CAmath.MPnlin.SI
keywords characteristichermitianmatricespolynomialsproductsrandomratiosappeared
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We present new and streamlined proofs of various formulae for products and ratios of characteristic polynomials of random Hermitian matrices that have appeared recently in the literature.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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

    math-ph 2026-03 unverdicted novelty 6.0

    Explicit expressions are proven for higher-order and mixed derivatives of determinant and Pfaffian ratios over Vandermonde determinants in random matrix theory.