Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs

Jiaoyang Huang, Benjamin Landon, Horng‐Tzer Yau

Type: Preprint

Publication Date: 2017-01-01

Citations: 4

DOI: https://doi.org/10.48550/arxiv.1712.03936

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+	Some applications of Laplace eigenvalues of graphs	1997	Bojan Mohar
+	Spectral Graph Theory	1996	Fan Chung
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+ PDF Chat	Universality results for the largest eigenvalues of some sample covariance matrix ensembles	2008	Sandrine Péché
+ PDF Chat	Rigidity of eigenvalues of generalized Wigner matrices	2011	László Erdős Horng‐Tzer Yau Jun Yin
+ PDF Chat	Isotropic local laws for sample covariance and generalized Wigner matrices	2014	Alex Bloemendal László Erdős Antti Knowles Horng‐Tzer Yau Jun Yin
+ PDF Chat	Random matrices: Universality of local eigenvalue statistics	2011	Terence Tao Van Vu
+ PDF Chat	The local relaxation flow approach to universality of the local statistics for random matrices	2012	László Erdős Benjamin Schlein Horng‐Tzer Yau Jun Yin
+ PDF Chat	Universality of random matrices and local relaxation flow	2010	László Erdős Benjamin Schlein Horng‐Tzer Yau
+	Spectral density singularities, level statistics, and localization in a sparse random matrix ensemble	1992	S. N. Evangelou E. N. Economou