On statistics of bi-orthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry

From MaRDI portal
Publication:1989880

DOI10.1007/s00220-018-3163-3zbMath1448.60022arXiv1710.04699OpenAlexW3101206129WikidataQ129726962 ScholiaQ129726962MaRDI QIDQ1989880

Yan. V. Fyodorov

Publication date: 29 October 2018

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

Full work available at URL: https://arxiv.org/abs/1710.04699




Related Items (28)

Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavitiesUniversal eigenvector correlations in quaternionic Ginibre ensemblesEdge universality for non-Hermitian random matricesProbing non-orthogonality of eigenvectors in non-Hermitian matrix models: diagrammatic approachOptimal lower bound on the least singular value of the shifted Ginibre ensembleThe distribution of overlaps between eigenvectors of Ginibre matricesOn the Condition Number of the Shifted Real Ginibre EnsembleExplicit formulas concerning eigenvectors of weakly non-unitary matricesRank 1 perturbations in random matrix theory — A review of exact resultsRandomly coupled differential equations with elliptic correlationsMesoscopic central limit theorem for non-Hermitian random matricesEigenvector delocalization for non‐Hermitian random matrices and applicationsAverages of products and ratios of characteristic polynomials in polynomial ensemblesFrom Synaptic Interactions to Collective Dynamics in Random Neuronal Networks Models: Critical Role of Eigenvectors and Transient BehaviorCondition numbers for real eigenvalues in the real elliptic Gaussian ensembleStrongly correlated random interacting processes. Abstracts from the workshop held January 28 -- February 3, 2018On eigenvector statistics in the spherical and truncated unitary ensemblesEigenvectors of non normal random matricesEigenvectors and controllability of non-Hermitian random matrices and directed graphsOn the determinantal structure of conditional overlaps for the complex Ginibre ensembleThe least singular value of the general deformed Ginibre ensembleEigenvector correlations in the complex Ginibre ensembleDensity of small singular values of the shifted real Ginibre ensembleFull Dysonian dynamics of the complex Ginibre ensembleSymmetries of the quaternionic Ginibre ensembleEigenvalue processes of Elliptic Ginibre Ensemble and their overlapsSpectral theory of sparse non-Hermitian random matricesTop eigenpair statistics for weighted sparse graphs


Uses Software


Cites Work


This page was built for publication: On statistics of bi-orthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry