On the determinantal structure of conditional overlaps for the complex Ginibre ensemble

DOI10.1142/S201032632050015XzbMath1458.82006arXiv1903.09016OpenAlexW2963442958WikidataQ127565691 ScholiaQ127565691MaRDI QIDQ3387067

Athanasios Tsareas, Gernot Akemann, Oleg V. Zaboronski, Roger P. Tribe

Publication date: 12 January 2021

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.09016

zbMATH Keywords

Dyson's theorembi-orthogonal polynomialscomplex Ginibre ensembleChalker-Mehlig formulacomplex matrix-valued Brownian motionconditional expectations of overlapsdeterminnantal structurelocal bulk and edge scaling limits

Mathematics Subject Classification ID

Gaussian processes (60G15) Random matrices (probabilistic aspects) (60B20) Brownian motion (60J65) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Eigenvalues, singular values, and eigenvectors (15A18) Classical equilibrium statistical mechanics (general) (82B05) Random matrices (algebraic aspects) (15B52)

Related Items (4)

Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities ⋮ Universal eigenvector correlations in quaternionic Ginibre ensembles ⋮ Condition numbers for real eigenvalues in the real elliptic Gaussian ensemble ⋮ On eigenvector statistics in the spherical and truncated unitary ensembles

Uses Software

• DLMF

Cites Work

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