Abstract
The consideration of expectation values of characteristic polynomials was introduced in [85] (Keating, and Snaith, Commun. Math. Phys. 214, 57–89, 2000) for the unitary group. We here consider the Hermitian matrix for characteristic polynomials [24] (Brézin and Hikami, Commun. Math. Phys. 214, 111, 2000). These expectation values turn out to be often more convenient than resolvents.
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Brézin, E., Hikami, S. (2016). Characteristic Polynomials and Duality. In: Random Matrix Theory with an External Source. SpringerBriefs in Mathematical Physics, vol 19. Springer, Singapore. https://doi.org/10.1007/978-981-10-3316-2_4
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DOI: https://doi.org/10.1007/978-981-10-3316-2_4
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Online ISBN: 978-981-10-3316-2
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