Universality of the second mixed moment of the characteristic polynomials of the 1D band matrices: Real symmetric case

DOI10.1063/1.4922621zbMath1320.15033arXiv1410.3084OpenAlexW1905165851MaRDI QIDQ5264403

Tatyana Shcherbina

Publication date: 27 July 2015

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

Full work available at URL: https://arxiv.org/abs/1410.3084

zbMATH Keywords

characteristic polynomialsGaussian orthogonal ensemblesecond mixed momentGaussian real symmetric band matrices

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52)

Related Items (6)

SUSY transfer matrix approach for the real symmetric 1d random band matrices ⋮ On the correlation functions of the characteristic polynomials of the sparse Hermitian random matrices ⋮ Random band matrices in the delocalized phase. III: Averaging fluctuations ⋮ Some open problems in random matrix theory and the theory of integrable systems. II ⋮ Delocalization and quantum diffusion of random band matrices in high dimensions. II: \(T\)-expansion ⋮ On random matrix averages involving half-integer powers of GOE characteristic polynomials

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