Products and Ratios of Characteristic Polynomials of Random Hermitian Matrices
Jinho Baik, Percy Deift, Eugene Strahov
TL;DR
This paper provides new, simplified proofs for formulas involving products and ratios of characteristic polynomials of random Hermitian matrices, advancing theoretical understanding in random matrix theory.
Contribution
It introduces streamlined proofs for existing formulas related to characteristic polynomials of random Hermitian matrices, enhancing mathematical clarity and accessibility.
Findings
Simplified proofs of key formulas
Enhanced understanding of characteristic polynomial ratios
Contributions to random matrix theory literature
Abstract
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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Taxonomy
TopicsRandom Matrices and Applications · Graph theory and applications · Matrix Theory and Algorithms