Spectral theory of sparse non-Hermitian random matrices
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Publication:5872705
DOI10.1088/1751-8121/ab1ce0OpenAlexW3098970891WikidataQ127963784 ScholiaQ127963784MaRDI QIDQ5872705
Izaak Neri, Fernando Lucas Metz, Tim Rogers
Publication date: 4 January 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.10416
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- Erratum to: Outliers in the spectrum of iid matrices with bounded rank perturbations
- Around the circular law
- On the spectrum of sum and product of non-Hermitian random matrices
- Characteristic vectors of bordered matrices with infinite dimensions
- Non-Gaussian non-Hermitian random matrix theory: phase transition and addition formalism
- Non-hermitian random matrix theory: Method of hermitian reduction
- Eigenvalues of non-Hermitian random matrices and Brown measure of non-normal operators: Hermitian reduction and linearization method
- Random regularization of Brown spectral measure
- Random matrices: universality of ESDs and the circular law
- Almost-Hermitian random matrices: Eigenvalue density in the complex plane
- On statistics of bi-orthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry
- Sensitivity analysis of reactive ecological dynamics
- Integrable structure of Ginibre's ensemble of real random matrices and a Pfaffian integration theorem
- Statistical properties of eigenvectors in non-Hermitian Gaussian random matrix ensembles
- First eigenvalue/eigenvector in sparse random symmetric matrices: influences of degree fluctuation
- Three Lemmas on Dynamic Cavity Method
- Spectral redemption in clustering sparse networks
- Resolvent of large random graphs
- Full dynamical solution for a spherical spin-glass model
- Anderson Model on Bethe Lattices: Density of States, Localization Properties and Isolated Eigenvalue
- Statistical Theory of the Energy Levels of Complex Systems. I
- Spectra of sparse random matrices
- RANDOM MATRICES: THE CIRCULAR LAW
- Spectral density of random graphs with topological constraints
- Information, Physics, and Computation
- Matrix Analysis
- How Many Eigenvalues of a Random Matrix are Real?
- Random matrices close to Hermitian or unitary: overview of methods and results
- Sparse random matrices: the eigenvalue spectrum revisited
- Networks
- Introduction to Random Matrices
- Dynamical Processes on Complex Networks
- Eigenvalue distribution of large weighted random graphs
- Spin-glass theory for pedestrians
- From Synaptic Interactions to Collective Dynamics in Random Neuronal Networks Models: Critical Role of Eigenvectors and Transient Behavior
- Universal sum and product rules for random matrices
- From the Littlewood-Offord problem to the Circular Law: Universality of the spectral distribution of random matrices
- Statistical Ensembles of Complex, Quaternion, and Real Matrices
- On the spectra of large sparse graphs with cycles
- Large-Nexpansion for the 2D Dyson gas
- Random incidence matrices: moments of the spectral density