On the correlation functions of the characteristic polynomials of the sparse Hermitian random matrices (Q300705)
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scientific article; zbMATH DE number 6599195
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the correlation functions of the characteristic polynomials of the sparse Hermitian random matrices |
scientific article; zbMATH DE number 6599195 |
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On the correlation functions of the characteristic polynomials of the sparse Hermitian random matrices (English)
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28 June 2016
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The author considers asymptotics of the correlation functions of characteristic polynomials corresponding to random weighted \(G(n, \frac{p}{n})\) Erdős-Rényi graphs with Gaussian weights in the case of finite \(p\) and also when \(p\to\infty\). It is shown that for finite \(p\) the second correlation function demonstrates a kind of transition.
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random matrix theory
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sparse random matrices
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correlation function of characteristic polynomials
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Grassmann variables
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asymptotics
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random Erdős-Rényi graphs
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