Circular law for sparse random regular digraphs

DOI10.4171/JEMS/1015zbMath1460.05174arXiv1801.05576WikidataQ114844026 ScholiaQ114844026MaRDI QIDQ2659439

Anna Lytova, Konstantin Tikhomirov, Pierre Youssef, Alexander E. Litvak, Nicole Tomczak-Jaegermann

Publication date: 26 March 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.05576

zbMATH Keywords

random matricesrandom graphssparse matricesregular graphslogarithmic potentialcircular lawintermediate singular values

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Random matrices (probabilistic aspects) (60B20) Combinatorial probability (60C05) Probabilistic methods in Banach space theory (46B09) Random matrices (algebraic aspects) (15B52) Density (toughness, etc.) (05C42) Asymptotic theory of Banach spaces (46B06)

Related Items

Singularity of sparse Bernoulli matrices, The sparse circular law under minimal assumptions, Sharp Poincaré and log-Sobolev inequalities for the switch chain on regular bipartite graphs, Quantitative invertibility of non-Hermitian random matrices, Spectrum of random d‐regular graphs up to the edge, On the second eigenvalue of random bipartite biregular graphs, Sharp transition of the invertibility of the adjacency matrices of sparse random graphs, Circular law for random block band matrices with genuinely sublinear bandwidth, The spectral gap of sparse random digraphs, Random non-Abelian G-circulant matrices. Spectrum of random convolution operators on large finite groups

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