The limiting distributions of large heavy Wigner and arbitrary random matrices

[1]  Paul Jung Levy-Khintchine random matrices and the Poisson weighted infinite skeleton tree , 2014, 1402.1096.

[2]  Florent Benaych-Georges,et al.  Central Limit Theorems for Linear Statistics of Heavy Tailed Random Matrices , 2013, Communications in Mathematical Physics.

[3]  F. Benaych-Georges,et al.  Marchenko-Pastur Theorem and Bercovici-Pata bijections for heavy-tailed or localized vectors , 2012, 1204.5154.

[4]  Willem H. Haemers,et al.  Spectra of Graphs , 2011 .

[5]  R. Stanley Enumerative Combinatorics: Volume 1 , 2011 .

[6]  C. Male The distributions of traffics and their free product , 2011 .

[7]  Rajat Subhra Hazra,et al.  Joint convergence of several copies of different patterned random matrices , 2011, 1108.4099.

[8]  Tiefeng Jiang,et al.  SPECTRAL DISTRIBUTIONS OF ADJACENCY AND LAPLACIAN MATRICES OF RANDOM GRAPHS , 2010, 1011.2608.

[9]  C. Bordenave,et al.  Spectrum of Non-Hermitian Heavy Tailed Random Matrices , 2010, 1006.1713.

[10]  C. Male The norm of polynomials in large random and deterministic matrices , 2010, 1004.4155.

[11]  A. Guionnet,et al.  An Introduction to Random Matrices , 2009 .

[12]  M. Shcherbina,et al.  Central limit theorem for fluctuations of linear eigenvalue statistics of large random graphs , 2009, 0911.5684.

[13]  R. Speicher,et al.  Sharp bounds for sums associated to graphs of matrices , 2009, 0909.4277.

[14]  Charles Bordenave,et al.  Spectrum of large random reversible Markov chains: Heavy-tailed weights on the complete graph , 2009, 0903.3528.

[15]  László Lovász,et al.  Very large graphs , 2009, 0902.0132.

[16]  Amir Dembo,et al.  Spectral Measure of Heavy Tailed Band and Covariance Random Matrices , 2008, 0811.1587.

[17]  G. B. Arous,et al.  The Spectrum of Heavy Tailed Random Matrices , 2007, 0707.2159.

[18]  I. Zakharevich,et al.  A Generalization of Wigner’s Law , 2006 .

[19]  Alexandru Nica,et al.  Lectures on the Combinatorics of Free Probability , 2006 .

[20]  D. Aldous,et al.  Processes on Unimodular Random Networks , 2006, math/0603062.

[21]  M. Neagu Asymptotic Freeness of Random Permutation Matrices from Gaussian Matrices , 2004, math/0410028.

[22]  Mariya Shcherbina,et al.  Eigenvalue distribution of large weighted random graphs , 2004 .

[23]  I. Benjamini,et al.  Recurrence of Distributional Limits of Finite Planar Graphs , 2000, math/0011019.

[24]  Øyvind Ryan On the Limit Distributions of Random Matrices with Independent or Free Entries , 1998 .

[25]  D. Cvetkovic,et al.  Spectra of Graphs: Theory and Applications , 1997 .

[26]  Alexandru Nica,et al.  Asymptotically free families of random unitaries in symmetric groups. , 1993 .

[27]  K. Dykema On Certain Free Product Factors via an Extended Matrix Model , 1992, funct-an/9211011.

[28]  H. Hamburger,et al.  Über eine Erweiterung des Stieltjesschen Momentenproblems , 1920 .

[29]  Alice Guionnet,et al.  Large Random Matrices: Lectures on Macroscopic Asymptotics , 2009 .

[30]  M. Capitaine,et al.  Asymptotic freeness by generalized moments for Gaussian and Wishart matrices. Application to beta random matrices , 2004 .

[31]  J. Michael Steele,et al.  The Objective Method: Probabilistic Combinatorial Optimization and Local Weak Convergence , 2004 .

[32]  D. Shlyakhtenko Random Gaussian band matrices and freeness with amalgamation , 1996 .

[33]  Michael Doob,et al.  Spectra of graphs , 1980 .