Derivative moments for characteristic polynomials from the CUE

DOI10.1007/s00220-012-1512-1zbMath1256.15021arXiv1109.0227OpenAlexW2152116619MaRDI QIDQ1758201

Xianqiang Yang

Publication date: 8 November 2012

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

Full work available at URL: https://arxiv.org/abs/1109.0227

zbMATH Keywords

eigenvaluesrandom matricescharacteristic polynomialHaar measurecircular orthogonal ensemble

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items

Joint moments of a characteristic polynomial and its derivative for the circular \(\beta \)-ensemble ⋮ Convergence and an explicit formula for the joint moments of the circular Jacobi \(\beta\)-ensemble characteristic polynomial ⋮ On a distinguished family of random variables and Painlevé equations ⋮ Expanding the Fourier transform of the scaled circular Jacobi \(\beta\) ensemble density ⋮ Moments of the logarithmic derivative of characteristic polynomials from SO(N) and USp(2N) ⋮ Mixed moments of characteristic polynomials of random unitary matrices ⋮ A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions ⋮ Exact equivalences and phase discrepancies between random matrix ensembles ⋮ Schur expansion of random-matrix reproducing kernels

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