Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices

Ill-posedness and regularization problems in numerical linear algebra (65F22) Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

Cites Work

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The local semicircle law for a general class of random matrices
Local circular law for random matrices
The local circular law. II: The edge case
Joint quasimodes, positive entropy, and quantum unique ergodicity
The local circular law. III: General case
The eigenvector moment flow and local quantum unique ergodicity
Quantum unique ergodicity for \(\text{SL}_2(\mathbb Z)\setminus \mathbb H\)
Ergodicity and eigenfunctions of the Laplacian
Uniform distribution of eigenfunctions on compact hyperbolic surfaces
The behaviour of eigenstates of arithmetic hyperbolic manifolds
Circular law
Stability of the matrix Dyson equation and random matrices with correlations
Eigenvector distribution of Wigner matrices
Random matrices: universality of ESDs and the circular law
On statistics of bi-orthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry
Non-Hermitian random matrices with a variance profile. I: Deterministic equivalents and limiting esds
Eigenvectors distribution and quantum unique ergodicity for deformed Wigner matrices
Fluctuation around the circular law for random matrices with real entries
On the real Davies' conjecture
Thermalisation for Wigner matrices
Optimal multi-resolvent local laws for Wigner matrices
High dimensional normality of noisy eigenvectors
Fluctuations in local quantum unique ergodicity for generalized Wigner matrices
Normal fluctuation in quantum ergodicity for Wigner matrices
The distribution of overlaps between eigenvectors of Ginibre matrices
The Dyson equation with linear self-energy: spectral bands, edges and cusps
Eigenstate thermalization hypothesis for Wigner matrices
Random matrices: universality of local spectral statistics of non-Hermitian matrices
Quantum ergodicity on large regular graphs
Mesoscopic eigenvalue statistics of Wigner matrices
Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph
Edge universality for non-Hermitian random matrices
Statistical properties of eigenvectors in non-Hermitian Gaussian random matrix ensembles
RANDOM MATRICES: UNIVERSAL PROPERTIES OF EIGENVECTORS
Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem
Full Dysonian dynamics of the complex Ginibre ensemble
Random Band Matrices in the Delocalized Phase I: Quantum Unique Ergodicity and Universality
On the determinantal structure of conditional overlaps for the complex Ginibre ensemble
On the free convolution with a semi-circular distribution
RANDOM MATRICES WITH SLOW CORRELATION DECAY
Rank-uniform local law for Wigner matrices
Quadratic Vector Equations On Complex Upper Half-Plane
The matrix Dyson equation and its applications for random matrices
Operator-valued Semicircular Elements: Solving A Quadratic Matrix Equation with Positivity Constraints
Central Limit Theorem for Linear Eigenvalue Statistics of <scp>Non‐Hermitian</scp> Random Matrices
Functional central limit theorems for Wigner matrices