Local law and Tracy-Widom limit for sparse stochastic block models
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Publication:2175009
DOI10.3150/20-BEJ1201zbMath1434.62202arXiv1903.02179MaRDI QIDQ2175009
Wooseok Yang, Ji Oon Lee, Jong Yun Hwang
Publication date: 27 April 2020
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.02179
Applications of statistics to social sciences (62P25) Applications of graph theory (05C90) Inference from stochastic processes and spectral analysis (62M15) Statistics of extreme values; tail inference (62G32) Random matrices (algebraic aspects) (15B52) Functional limit theorems; invariance principles (60F17)
Related Items (7)
Local Marchenko-Pastur law for sparse rectangular random matrices ⋮ Local law and Tracy-Widom limit for sparse stochastic block models ⋮ On the largest and the smallest singular value of sparse rectangular random matrices ⋮ Rate of convergence for sparse sample covariance matrices ⋮ Quantitative Tracy-Widom laws for the largest eigenvalue of generalized Wigner matrices ⋮ Central limit theorem for linear spectral statistics of block-Wigner-type matrices ⋮ Quantitative results for banded Toeplitz matrices subject to random and deterministic perturbations
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