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In this paper, we extend results of Eigenvector Thermalization to the case of generalized Wigner matrices.
Characteristic vectors of bordered matrices with infinite dimensions
E. P. Wigner · 1955
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O. Bohigas, M. Giannoni, and C. Schmid · 1984
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Quantum statistical mechanics in a closed system
J. Deutsch · 1991
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M. Srednicki · 1994
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E. Br´ezin and S. Hikami · 1996
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Local semicircle law and complete delocalization for Wigner random matrices
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Random matrices: universality of local eigenvalue statistics
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Bulk universality for generalized Wigner matrices
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Rigidity of eigenvalues of generalized Wigner matrices
L. Erdős, H.-T. Yau, and J. Yin · 2012
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J. Deutsch · 2018
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L. Erdős, T. Kruger, and D. Schroder · 2019
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L. Benigni · 2020
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Fluctuations in local quantum unique ergodicity for generalized wigner matrices
L. Benigni and P. Lopatto · 2021
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Eigenstate thermalization hypothesis for wigner matrices
G. Cipolloni, L. Erdős, and D. Schröder · 2021
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Fluctuations of eigenvector overlaps and the berry conjecture for wigner matrices
L. Benigni and G. Cipolloni · 2022
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Optimal multi-resolvent local laws for wigner matrices
G. Cipolloni, L. Erdős, and D. Schröder · 2022
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Rank-uniform local law for wigner matrices
G. Cipolloni, L. Erdős, and D. Schröder · 2022
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Normal fluctuation in quantum ergodicity for Wigner matrices
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Random band matrices in the delocalized phase, I: Quantum unique ergodicity and universality
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Cusp universality for random matrices i: local law and the complex hermitian case
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Functional central limit theorems for wigner matrices
L. Erdős, G. Cipolloni, and D. Schröder · 2020
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High dimensional normality of noisy eigenvectors
J. Marcinek and H.-T. Yau · 2020
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Fixed energy universality for generalized Wigner matrices
P. Bourgade, L. Erdős, H.-T. Yau, and J. Yin
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Bulk universality for Wigner matrices
L. Erdős, S. Péché, J. A. Ramírez, B. Schlein, and H.-T. Yau
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G. Cipolloni, L. Erdős, and D. Schröder · 2022
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Gaussian fluctuations in the equipartition principle for wigner matrices
G. Cipolloni, L. Erdős, J. Henheik, and O. Kolupaiev · 2023
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Optimal lower bound on eigenvector overlaps for non-hermitian random matrices
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Gap universality of generalized wigner and beta ensembles
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