Singularity of random symmetric matrices -- simple proof

DOI10.5802/crmath.215zbMath1472.15043arXiv2006.07439OpenAlexW3198319239MaRDI QIDQ1979880

Asaf Ferber

Publication date: 3 September 2021

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07439

zbMATH Keywords

random matricessingularity

Mathematics Subject Classification ID

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

Related Items (6)

Singularity of sparse random matrices: simple proofs ⋮ On the smallest singular value of symmetric random matrices ⋮ On sparse random combinatorial matrices ⋮ Singularity of the \(k\)-core of a random graph ⋮ On subgraphs with degrees of prescribed residues in the random graph ⋮ On the permanent of a random symmetric matrix

Cites Work

• Inverse Littlewood-Offord problems and the singularity of random symmetric matrices
• Random symmetric matrices are almost surely nonsingular.
• On the singularity of random symmetric matrices
• Mesoscopic perturbations of large random matrices
• On the counting problem in inverse Littlewood–Offord theory
• SINGULARITY OF RANDOM SYMMETRIC MATRICES—A COMBINATORIAL APPROACH TO IMPROVED BOUNDS
• Invertibility of symmetric random matrices

This page was built for publication: Singularity of random symmetric matrices -- simple proof