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Antti Knowles
Antti Knowles
Preverjeni e-poštni naslov na unige.ch - Domača stran
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Spectral statistics of Erdős–Rényi graphs I: Local semicircle law
L Erdős, A Knowles, HT Yau, J Yin
3502013
Spectral statistics of Erdős-Rényi Graphs II: Eigenvalue spacing and the extreme eigenvalues
L Erdős, A Knowles, HT Yau, J Yin
Communications in Mathematical Physics 314 (3), 587-640, 2012
2612012
The local semicircle law for a general class of random matrices
L Erdős, A Knowles, HT Yau, J Yin
2282013
Anisotropic local laws for random matrices
A Knowles, J Yin
Probability Theory and Related Fields 169, 257-352, 2017
2132017
Isotropic local laws for sample covariance and generalized Wigner matrices
B Alex, L Erdős, A Knowles, HT Yau, J Yin
2062014
Mean-field dynamics: singular potentials and rate of convergence
A Knowles, P Pickl
Communications in Mathematical Physics 298, 101-138, 2010
1992010
The isotropic semicircle law and deformation of Wigner matrices
A Knowles, J Yin
Communications on Pure and Applied Mathematics 66 (11), 1663-1749, 2013
1702013
On the principal components of sample covariance matrices
A Bloemendal, A Knowles, HT Yau, J Yin
Probability theory and related fields 164 (1), 459-552, 2016
1622016
On the mean-field limit of bosons with Coulomb two-body interaction
J Fröhlich, A Knowles, S Schwarz
Communications in mathematical physics 288, 1023-1059, 2009
1542009
Averaging fluctuations in resolvents of random band matrices
L Erdős, A Knowles, HT Yau
Annales Henri Poincaré 14 (8), 1837-1926, 2013
1332013
Eigenvector distribution of Wigner matrices
A Knowles, J Yin
Probability Theory and Related Fields 155, 543-582, 2013
1282013
Delocalization and diffusion profile for random band matrices
L Erdős, A Knowles, HT Yau, J Yin
Communications in Mathematical Physics 323, 367-416, 2013
1192013
Lectures on the local semicircle law for Wigner matrices
F Benaych-Georges, A Knowles
arXiv preprint arXiv:1601.04055, 2016
1092016
Local semicircle law for random regular graphs
R Bauerschmidt, A Knowles, HT Yau
Communications on Pure and Applied Mathematics 70 (10), 1898-1960, 2017
1002017
Spectral radii of sparse random matrices
C Bordenave, F Benaych-Georges, A Knowles
Annales de l'Institut Henri Poincare (B) Probability and Statistics, 2019
97*2019
Atomism and quantization
J Fröhlich, A Knowles, A Pizzo
Journal of Physics A: Mathematical and Theoretical 40 (12), 3033, 2007
972007
A microscopic derivation of the time-dependent Hartree-Fock equation with Coulomb two-body interaction
J Fröhlich, A Knowles
Journal of statistical physics 145, 23-50, 2011
852011
Quantum diffusion and eigenfunction delocalization in a random band matrix model
L Erdős, A Knowles
Communications in mathematical physics 303 (2), 509-554, 2011
842011
Largest eigenvalues of sparse inhomogeneous Erdős–Rényi graphs
F Benaych-Georges, C Bordenave, A Knowles
The Annals of Probability 47 (3), 1653-1676, 2019
832019
Mesoscopic eigenvalue statistics of Wigner matrices
Y He, A Knowles
832017
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