The circular law for random regular digraphs with random edge weights

DOI10.1142/S2010326317500125zbMath1370.05078arXiv1508.00208OpenAlexW3103061670MaRDI QIDQ5359050

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Publication date: 22 September 2017

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00208

zbMATH Keywords

universalityrandom matrixsingular valueslogarithmic potentialnon-normal matrixrandom regular digraph

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Directed graphs (digraphs), tournaments (05C20)

Related Items (12)

Local Kesten-McKay law for random regular graphs ⋮ Quantitative invertibility of non-Hermitian random matrices ⋮ The circular law for random regular digraphs with random edge weights ⋮ Edge rigidity and universality of random regular graphs of intermediate degree ⋮ The smallest singular value of a shifted $d$-regular random square matrix ⋮ Circular law for the sum of random permutation matrices ⋮ The rank of random regular digraphs of constant degree ⋮ Circular law for random block band matrices with genuinely sublinear bandwidth ⋮ The circular law for random regular digraphs ⋮ The spectral gap of sparse random digraphs ⋮ The circular law for sparse non-Hermitian matrices ⋮ The strong circular law: A combinatorial view

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