Eigenvectors and controllability of non-Hermitian random matrices and directed graphs
From MaRDI portal
Publication:2042849
DOI10.1214/21-EJP588zbMath1470.15033arXiv2004.10543OpenAlexW3158567170MaRDI QIDQ2042849
Publication date: 21 July 2021
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.10543
Random matrices (probabilistic aspects) (60B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Stochastic systems in control theory (general) (93E03) Random matrices (algebraic aspects) (15B52)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A limit theorem for scaled eigenvectors of random dot product graphs
- Extreme gaps between eigenvalues of random matrices
- Delocalization and diffusion profile for random band matrices
- Localization and delocalization of eigenvectors for heavy-tailed random matrices
- Inverse Littlewood-Offord problems and the singularity of random symmetric matrices
- The eigenvector moment flow and local quantum unique ergodicity
- Invertibility of sparse non-Hermitian matrices
- Random matrices: tail bounds for gaps between eigenvalues
- The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
- Quantum diffusion and eigenfunction delocalization in a random band matrix model
- Quantum diffusion and delocalization for band matrices with general distribution
- Sparse regular random graphs: spectral density and eigenvectors
- No-gaps delocalization for general random matrices
- Eigenvectors of random matrices: A survey
- Largest eigenvalues and eigenvectors of band or sparse random matrices
- Random symmetric matrices are almost surely nonsingular.
- Delocalization of eigenvectors of random matrices with independent entries
- Convergence of the density of states and delocalization of eigenvectors on random regular graphs
- Eigenvector localization for random band matrices with power law band width
- On the singularity probability of discrete random matrices
- On the limit of the largest eigenvalue of the large dimensional sample covariance matrix
- On the eigenvectors of large dimensional sample covariance matrices
- Coverings of random ellipsoids, and invertibility of matrices with i.i.d. heavy-tailed entries
- Random matrices have simple spectrum
- Controllable subsets in graphs
- Bulk universality for generalized Wigner matrices
- Eigenvector distribution of Wigner matrices
- On statistics of bi-orthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry
- Eigenvectors of non normal random matrices
- Sparse random matrices have simple spectrum
- The distribution of overlaps between eigenvectors of Ginibre matrices
- On delocalization of eigenvectors of random non-Hermitian matrices
- Low rank perturbations of large elliptic random matrices
- Central limit theorem for eigenvectors of heavy tailed matrices
- Laplacian controllability classes for threshold graphs
- Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
- Singularity of random Bernoulli matrices
- On asymptotics of eigenvectors of large sample covariance matrix
- Entrywise bounds for eigenvectors of random graphs
- Inverse Littlewood-Offord theorems and the condition number of random discrete matrices
- Eigenvector statistics of sparse random matrices
- Isotropic local laws for sample covariance and generalized Wigner matrices
- The Littlewood-Offord problem and invertibility of random matrices
- Extremal eigenvalues and eigenvectors of deformed Wigner matrices
- Statistical properties of eigenvectors in non-Hermitian Gaussian random matrix ensembles
- RANDOM MATRICES: UNIVERSAL PROPERTIES OF EIGENVECTORS
- Eigenvector dynamics under free addition
- On a Conjecture of Godsil Concerning Controllable Random Graphs
- Controllability, Identification, and Randomness in Distributed Systems
- Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem
- Graph Controllability Classes for the Laplacian Leader-Follower Dynamics
- Smooth analysis of the condition number and the least singular value
- Statistics of eigenvectors in the deformed Gaussian unitary ensemble of random matrices
- On the Increase of Dispersion of Sums of Independent Random Variables
- On random ±1 matrices: Singularity and determinant
- Random weighted projections, random quadratic forms and random eigenvectors
- Smoothed analysis of algorithms
- Smallest singular value of a random rectangular matrix
- Eigenvalues and Condition Numbers of Random Matrices
- Complex random matrices have no real eigenvalues
- Statistical properties of eigenvectors and eigenvalues of structured random matrices
- Eigenvectors of random matrices of symmetric entry distributions
- On the Probability That a Random ± 1-Matrix Is Singular
- Controllability analysis of multi-agent systems with directed and weighted interconnection
- A UNIVERSALITY RESULT FOR THE GLOBAL FLUCTUATIONS OF THE EIGENVECTORS OF WIGNER MATRICES
- Braess's paradox for the spectral gap in random graphs and delocalization of eigenvectors
- Controllability of Multi-Agent Systems from a Graph-Theoretic Perspective
- SINGULARITY OF RANDOM SYMMETRIC MATRICES—A COMBINATORIAL APPROACH TO IMPROVED BOUNDS
- Eigenvectors of random graphs: Nodal Domains
- On the Controllability Properties of Circulant Networks
- Structure of eigenvectors of random regular digraphs
- Invertibility of symmetric random matrices
- Controllability and Observability in Multivariable Control Systems
- Invariant Subspaces and the Controllability and Observability of Linear Dynamical Systems
- Localization of eigenvectors in random graphs
