Spectral statistics of Erdős–Rényi graphs I: Local semicircle law L Erdős, A Knowles, HT Yau, J Yin | 369 | 2013 |
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 | 281 | 2012 |
The local semicircle law for a general class of random matrices L Erdős, A Knowles, HT Yau, J Yin | 238 | 2013 |
Anisotropic local laws for random matrices A Knowles, J Yin Probability Theory and Related Fields 169, 257-352, 2017 | 234 | 2017 |
Isotropic local laws for sample covariance and generalized Wigner matrices B Alex, L Erdős, A Knowles, HT Yau, J Yin | 217 | 2014 |
Mean-field dynamics: singular potentials and rate of convergence A Knowles, P Pickl Communications in Mathematical Physics 298, 101-138, 2010 | 205 | 2010 |
The isotropic semicircle law and deformation of Wigner matrices A Knowles, J Yin Communications on Pure and Applied Mathematics 66 (11), 1663-1749, 2013 | 181 | 2013 |
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 | 177 | 2016 |
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 | 156 | 2009 |
Averaging fluctuations in resolvents of random band matrices L Erdős, A Knowles, HT Yau Annales Henri Poincaré 14 (8), 1837-1926, 2013 | 144 | 2013 |
Eigenvector distribution of Wigner matrices A Knowles, J Yin Probability Theory and Related Fields 155, 543-582, 2013 | 136 | 2013 |
Delocalization and diffusion profile for random band matrices L Erdős, A Knowles, HT Yau, J Yin Communications in Mathematical Physics 323, 367-416, 2013 | 126 | 2013 |
Lectures on the local semicircle law for Wigner matrices F Benaych-Georges, A Knowles arXiv preprint arXiv:1601.04055, 2016 | 120 | 2016 |
Spectral radii of sparse random matrices C Bordenave, F Benaych-Georges, A Knowles Annales de l'Institut Henri Poincare (B) Probability and Statistics, 2019 | 115* | 2019 |
Local semicircle law for random regular graphs R Bauerschmidt, A Knowles, HT Yau Communications on Pure and Applied Mathematics 70 (10), 1898-1960, 2017 | 109 | 2017 |
Largest eigenvalues of sparse inhomogeneous Erdős–Rényi graphs F Benaych-Georges, C Bordenave, A Knowles The Annals of Probability 47 (3), 1653-1676, 2019 | 99 | 2019 |
Atomism and quantization J Fröhlich, A Knowles, A Pizzo Journal of Physics A: Mathematical and Theoretical 40 (12), 3033, 2007 | 98 | 2007 |
Mesoscopic eigenvalue statistics of Wigner matrices Y He, A Knowles | 94 | 2017 |
Quantum diffusion and eigenfunction delocalization in a random band matrix model L Erdős, A Knowles Communications in mathematical physics 303 (2), 509-554, 2011 | 90 | 2011 |
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 | 88 | 2011 |