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We analyze statistics for eigenvector entries of heavy-tailed random symmetric matrices (also called L\'{e}vy matrices) whose associated eigenvalues are sufficiently small.
The problem of moments
J. A. Shohat and J. D. Tamarkin · 1943
Earlier work this paper cites.
The basis of the electron theory of metals, with special reference to the transition metals
N. F. Mott · 1949
Earlier work this paper cites.
Characteristic vectors of bordered matrices with infinite dimensions
E. P. Wigner · 1955
Earlier work this paper cites.
Absence of diffusion in certain random lattices
P. W. Anderson · 1958
Earlier work this paper cites.
A selfconsistent theory of localization
R. Abou-Chacra, D. Thouless, and P. Anderson · 1973
Earlier work this paper cites.
Self-consistent theory of localization. II. Localization near the band edges
R. Abou-Chacra and D. Thouless · 1974
Earlier work this paper cites.
Local moments and localized states
P. W. Anderson · 1978
Earlier work this paper cites.
The mobility edge since 1967
N. Mott · 1987
Earlier work this paper cites.
Asymptotics in the random assignment problem
D. Aldous · 1992
Earlier work this paper cites.
Mean field theory of dilute spin-glasses with power-law interactions
P. Cizeau and J. Bouchaud · 1993
Earlier work this paper cites.
Theory of Lévy matrices
P. Cizeau and J.-P. Bouchaud · 1994
Earlier work this paper cites.
More Lévy distributions in physics
J. Bouchaud · 1995
Earlier work this paper cites.
On the free convolution with a semi-circular distribution
P. Biane · 1997
Earlier work this paper cites.
Option pricing in the presence of extreme fluctuations
J.-P. Bouchaud, D. Sornette, and M. Potters · 1997
Earlier work this paper cites.
Taming large events: Optimal portfolio theory for strongly fluctuating assets
J.-P. Bouchaud, D. Sornette, C. Walter, and J. Aguilar · 1998
Earlier work this paper cites.
Rational decisions, random matrices and spin glasses
S. Galluccio, J.-P. Bouchaud, and M. Potters · 1998
Earlier work this paper cites.
Noise dressing of financial correlation matrices
L. Laloux, P. Cizeau, J.-P. Bouchaud, and M. Potters · 1999
Earlier work this paper cites.
Random matrix theory and financial correlations
L. Laloux, P. Cizeau, M. Potters, and J.-P. Bouchaud · 2000
Earlier work this paper cites.
Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices
K. Johansson · 2001
Earlier work this paper cites.
The objective method: probabilistic combinatorial optimization and local weak convergence
D. Aldous and J. M. Steele · 2004
Earlier work this paper cites.
Poisson statistics for the largest eigenvalues of Wigner random matrices with heavy tails
A. Soshnikov · 2004
Earlier work this paper cites.
Random Lévy matrices revisited
Z. Burda, J. Jurkiewicz, M. A. Nowak, G. Papp, and I. Zahed · 2006
Earlier work this paper cites.
Critical phenomena in natural sciences: chaos, fractals, selforganization and disorder: concepts and tools
D. Sornette · 2006
Earlier work this paper cites.
Extreme value problems in random matrix theory and other disordered systems
G. Biroli, J.-P. Bouchaud, and M. Potters · 2007
Earlier work this paper cites.
On the top eigenvalue of heavy-tailed random matrices
G. Biroli, J.-P. Bouchaud, and M. Potters · 2007
Earlier work this paper cites.
The spectrum of heavy tailed random matrices
G. B. Arous and A. Guionnet · 2008
Earlier work this paper cites.
Poisson convergence for the largest eigenvalues of heavy tailed random matrices
A. Auffinger, G. Ben Arous, and S. Péché · 2009
Earlier work this paper cites.
Spectral measure of heavy tailed band and covariance random matrices
S. Belinschi, A. Dembo, and A. Guionnet · 2009
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Financial applications of random matrix theory: a short review
J.-P. Bouchaud and M. Potters · 2009
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50 Years of Anderson Localization
E. Abrahams, editor · 2010
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Bulk universality for Wigner matrices
L. Erdős, S. Péché, J. A. Ramírez, B. Schlein, and H.-T. Yau · 2010
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Mean field models for spin glasses. Volume I: Basic examples
M. Talagrand · 2010
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Absence of mobility edge for the Anderson random potential on tree graphs at weak disorder
M. Aizenman and S. Warzel · 2011
Lectures on the local semicircle law for Wigner matrices
F. Benaych-Georges and A. Knowles · 2016
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Fixed energy universality for generalized Wigner matrices
P. Bourgade, L. Erdős, H.-T. Yau, and J. Yin · 2016
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Localization transition in random Lévy matrices: multifractality of eigenvectors in the localized phase and at criticality
C. Monthus · 2016
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Level statistics and localization transitions of Lévy matrices
E. Tarquini, G. Biroli, and M. Tarzia · 2016
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Singularities of solutions to quadratic vector equations on the complex upper half-plane
O. Ajanki, T. Krüger, and L. Erdős · 2017
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The local relaxation flow approach to universality of the local statistics for random matrices
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L. Benigni · 2017
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Delocalization at small energy for heavy-tailed random matrices
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Universality for a class of random band matrices
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P. Bourgade, J. Huang, and H.-T. Yau · 2017
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Cleaning large correlation matrices: tools from random matrix theory
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Universality of random matrices with correlated entries
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Convergence of local statistics of Dyson Brownian motion
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GOE statistics for Lévy matrices
A. Aggarwal, P. Lopatto, and H.-T. Yau · 2018
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P. Bourgade · 2018
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Random band matrices in the delocalized phase, I: Quantum unique ergodicity and universality
P. Bourgade, H.-T. Yau, and J. Yin · 2018
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Random band matrices in the delocalized phase, II: Generalized resolvent estimates
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Traditional and heavy tailed self regularization in neural network models
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