Location of the spectrum of Kronecker random matrices

DOI10.1214/18-AIHP894zbMath1447.60014arXiv1706.08343OpenAlexW2962940098WikidataQ127867114 ScholiaQ127867114MaRDI QIDQ2320379

Torben Krüger, László Erdős, Yu. N. Nemish, Johannes Alt

Publication date: 22 August 2019

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08343

zbMATH Keywords

outliersblock matricesnon-Hermitian random matrixlocal lawself-consistent pseudospectrum

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52)

Related Items (21)

Local elliptic law ⋮ From the first rigorous proof of the circular law in 1984 to the circular law for block random matrices under the generalized Lindeberg condition ⋮ Large deviations for the largest eigenvalue of matrices with variance profiles ⋮ Power Law Decay for Systems of Randomly Coupled Differential Equations ⋮ Correlated random matrices: band rigidity and edge universality ⋮ Landscape complexity beyond invariance and the elastic manifold ⋮ Functional CLT for non-Hermitian random matrices ⋮ Operator-valued matrices with free or exchangeable entries ⋮ Randomly coupled differential equations with elliptic correlations ⋮ Exponential growth of random determinants beyond invariance ⋮ The Dyson equation with linear self-energy: spectral bands, edges and cusps ⋮ RANDOM MATRICES WITH SLOW CORRELATION DECAY ⋮ Local inhomogeneous circular law ⋮ Bounds on the norm of Wigner-type random matrices ⋮ Inhomogeneous circular law for correlated matrices ⋮ Large deviations for extreme eigenvalues of deformed Wigner random matrices ⋮ Quadratic Vector Equations On Complex Upper Half-Plane ⋮ Local laws for polynomials of Wigner matrices ⋮ Scattering in quantum dots via noncommutative rational functions ⋮ Optimal multi-resolvent local laws for Wigner matrices ⋮ Non-Hermitian random matrices with a variance profile. II: properties and examples

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