Derivative moments for characteristic polynomials from the CUE
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Publication:1758201
DOI10.1007/s00220-012-1512-1zbMath1256.15021arXiv1109.0227OpenAlexW2152116619MaRDI QIDQ1758201
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
Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)
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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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