On the correlation functions of the characteristic polynomials of the sparse Hermitian random matrices

DOI10.1007/S10955-016-1486-ZzbMath1343.15023arXiv1508.06623OpenAlexW3098269314MaRDI QIDQ300705

F. Blanchet-Sadri, M. Dambrine

Publication date: 28 June 2016

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.06623

zbMATH Keywords

asymptoticsrandom matrix theoryGrassmann variablescorrelation function of characteristic polynomialsrandom Erdős-Rényi graphssparse random matrices

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Random matrices (probabilistic aspects) (60B20) Hermitian, skew-Hermitian, and related matrices (15B57) Random matrices (algebraic aspects) (15B52)

Related Items (4)

Superposition of random plane waves in high spatial dimensions: Random matrix approach to landscape complexity ⋮ Characteristic polynomials for random band matrices near the threshold ⋮ On the Correlation Functions of the Characteristic Polynomials of Random Matrices with Independent Entries: Interpolation Between Complex and Real Cases ⋮ Characteristic polynomials for 1D random band matrices from the localization side

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