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Resolve(nt) the Semicircle

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Introduction to Random Matrices

Part of the book series: SpringerBriefs in Mathematical Physics ((BRIEFSMAPHY,volume 26))

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Abstract

In this Chapter, we introduce the so called resolvent, a complex function from which the spectral density can be calculated.

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Notes

  1. 1.

    Unless otherwise stated, we will no longer make a distinction between \(n^\star (x)\), \(\langle n(x)\rangle \) and \(\rho (x)\).

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Correspondence to Pierpaolo Vivo .

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Livan, G., Novaes, M., Vivo, P. (2018). Resolve(nt) the Semicircle. In: Introduction to Random Matrices. SpringerBriefs in Mathematical Physics, vol 26. Springer, Cham. https://doi.org/10.1007/978-3-319-70885-0_8

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