TY - JOUR
T1 - On the second mixed moment of the characteristic polynomials of 1D band matrices
AU - Shcherbina, Tatyana
N1 - Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2014.
PY - 2014/3/5
Y1 - 2014/3/5
N2 - We consider the asymptotic behavior of the second mixed moment of the characteristic polynomials of 1D Gaussian band matrices, i.e., of the Hermitian N × N matrices HN with independent Gaussian entries such that {Hi j Hlk} = δikδ jl Jij , where J = (−W2Δ+1) −1.Assuming that W2 = N1+θ, 0 < θ ≤ 1, we showthat themoment’s asymptotic behavior (as N → ∞) in the bulk of the spectrum coincides with that for the Gaussian Unitary Ensemble.
AB - We consider the asymptotic behavior of the second mixed moment of the characteristic polynomials of 1D Gaussian band matrices, i.e., of the Hermitian N × N matrices HN with independent Gaussian entries such that {Hi j Hlk} = δikδ jl Jij , where J = (−W2Δ+1) −1.Assuming that W2 = N1+θ, 0 < θ ≤ 1, we showthat themoment’s asymptotic behavior (as N → ∞) in the bulk of the spectrum coincides with that for the Gaussian Unitary Ensemble.
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U2 - 10.1007/s00220-014-1947-7
DO - 10.1007/s00220-014-1947-7
M3 - Article
AN - SCOPUS:85027945867
SN - 0010-3616
VL - 328
SP - 45
EP - 82
JO - Communications In Mathematical Physics
JF - Communications In Mathematical Physics
IS - 1
ER -