Local Marchenko-Pastur law for sparse rectangular random matrices

DOI10.1134/S1064562421060065zbMath1486.60013OpenAlexW4285337803WikidataQ114847305 ScholiaQ114847305MaRDI QIDQ2121835

Friedrich Götze, Alexander Tikhomirov, Dmitry Timushev

Publication date: 5 April 2022

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421060065

zbMATH Keywords

Stieltjes transformsparse random matriceslocal Marchenko-Pastur lawspectrum of random matrixlocal regime

Mathematics Subject Classification ID

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

Cites Work

• Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law
• Tracy-Widom distribution for the largest eigenvalue of real sample covariance matrices with general population
• Spectral statistics of Erdős-Rényi graphs II: eigenvalue spacing and the extreme eigenvalues
• The circular law for random matrices
• Local law and Tracy-Widom limit for sparse random matrices
• Local law and Tracy-Widom limit for sparse stochastic block models
• Local law and Tracy-Widom limit for sparse sample covariance matrices
• Smallest singular value of a random rectangular matrix
• The Expected Norm of Random Matrices
• DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES
• Outliers in spectrum of sparse Wigner matrices

This page was built for publication: Local Marchenko-Pastur law for sparse rectangular random matrices