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Antti Knowles
Antti Knowles
Verified email at unige.ch - Homepage
Title
Cited by
Cited by
Year
Spectral statistics of Erdős–Rényi graphs I: Local semicircle law
L Erdős, A Knowles, HT Yau, J Yin
4102013
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
2992012
Anisotropic local laws for random matrices
A Knowles, J Yin
Probability Theory and Related Fields 169 (1), 257-352, 2017
2702017
The local semicircle law for a general class of random matrices
L Erdős, A Knowles, HT Yau, J Yin
2592013
Isotropic local laws for sample covariance and generalized Wigner matrices
B Alex, L Erdős, A Knowles, HT Yau, J Yin
2392014
Mean-field dynamics: singular potentials and rate of convergence
A Knowles, P Pickl
Communications in Mathematical Physics 298 (1), 101-138, 2010
2192010
The isotropic semicircle law and deformation of Wigner matrices
A Knowles, J Yin
Communications on Pure and Applied Mathematics 66 (11), 1663-1749, 2013
1972013
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
1962016
On the mean-field limit of bosons with Coulomb two-body interaction
J Fröhlich, A Knowles, S Schwarz
Communications in mathematical physics 288 (3), 1023-1059, 2009
1602009
Averaging fluctuations in resolvents of random band matrices
L Erdős, A Knowles, HT Yau
Annales Henri Poincaré 14 (8), 1837-1926, 2013
1542013
Eigenvector distribution of Wigner matrices
A Knowles, J Yin
Probability Theory and Related Fields 155 (3), 543-582, 2013
1492013
Delocalization and diffusion profile for random band matrices
L Erdős, A Knowles, HT Yau, J Yin
Communications in Mathematical Physics 323 (1), 367-416, 2013
1412013
Lectures on the local semicircle law for Wigner matrices
F Benaych-Georges, A Knowles
arXiv preprint arXiv:1601.04055, 2016
1402016
Spectral radii of sparse random matrices
C Bordenave, F Benaych-Georges, A Knowles
Annales de l'Institut Henri Poincare (B) Probability and Statistics, 2019
130*2019
Largest eigenvalues of sparse inhomogeneous Erdős–Rényi graphs
F Benaych-Georges, C Bordenave, A Knowles
The Annals of Probability 47 (3), 1653-1676, 2019
1142019
Local semicircle law for random regular graphs
R Bauerschmidt, A Knowles, HT Yau
Communications on Pure and Applied Mathematics 70 (10), 1898-1960, 2017
1142017
Mesoscopic eigenvalue statistics of Wigner matrices
Y He, A Knowles
1072017
Atomism and quantization
J Fröhlich, A Knowles, A Pizzo
Journal of Physics A: Mathematical and Theoretical 40 (12), 3033, 2007
1032007
A microscopic derivation of the time-dependent Hartree-Fock equation with Coulomb two-body interaction
J Fröhlich, A Knowles
Journal of statistical physics 145 (1), 23, 2011
1012011
Quantum diffusion and eigenfunction delocalization in a random band matrix model
L Erdős, A Knowles
Communications in mathematical physics 303 (2), 509-554, 2011
952011
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Articles 1–20