The spectral gap of dense random regular graphs K Tikhomirov, P Youssef The Annals of Probability 47 (1), 362-419, 2019 | 53 | 2019 |
The dimension-free structure of nonhomogeneous random matrices R Latała, R van Handel, P Youssef Inventiones mathematicae 214, 1031-1080, 2018 | 53 | 2018 |
Adjacency matrices of random digraphs: singularity and anti-concentration AE Litvak, A Lytova, K Tikhomirov, N Tomczak-Jaegermann, P Youssef Journal of Mathematical Analysis and Applications 445 (2), 1447-1491, 2017 | 47 | 2017 |
Restricted invertibility and the Banach–Mazur distance to the cube P Youssef Mathematika 60 (1), 201-218, 2014 | 31 | 2014 |
Outliers in spectrum of sparse Wigner matrices K Tikhomirov, P Youssef Random Structures & Algorithms 58 (3), 517-605, 2021 | 30 | 2021 |
Restricted invertibility revisited A Naor, P Youssef A Journey Through Discrete Mathematics: A Tribute to Jiří Matoušek, 657-691, 2017 | 29 | 2017 |
Circular law for sparse random regular digraphs AE Litvak, A Lytova, K Tikhomirov, N Tomczak-Jaegermann, P Youssef arXiv preprint arXiv:1801.05576, 2021 | 25 | 2021 |
Bernstein-type inequality for a class of dependent random matrices M Banna, F Merlevède, P Youssef Random Matrices: Theory and Applications 5 (02), 1650006, 2016 | 24 | 2016 |
The smallest singular value of a shifted d-regular random square matrix AE Litvak, A Lytova, K Tikhomirov, N Tomczak-Jaegermann, P Youssef Probability Theory and Related Fields 173, 1301-1347, 2019 | 19 | 2019 |
Structure of eigenvectors of random regular digraphs A Litvak, A Lytova, K Tikhomirov, N Tomczak-Jaegermann, P Youssef Transactions of the American Mathematical Society 371 (11), 8097-8172, 2019 | 19 | 2019 |
A note on column subset selection P Youssef International Mathematics Research Notices 2014 (23), 6431-6447, 2014 | 15 | 2014 |
Sharp Poincaré and log-Sobolev inequalities for the switch chain on regular bipartite graphs K Tikhomirov, P Youssef Probability Theory and Related Fields 185 (1), 89-184, 2023 | 11 | 2023 |
Matrix Poincaré inequalities and concentration R Aoun, M Banna, P Youssef Advances in Mathematics 371, 107251, 2020 | 11 | 2020 |
Estimating the covariance of random matrices P Youssef | 11 | 2013 |
Approximating matrices and convex bodies O Friedland, P Youssef International Mathematics Research Notices 2019 (8), 2519-2537, 2019 | 10 | 2019 |
Flat bands of periodic graphs M Sabri, P Youssef Journal of Mathematical Physics 64 (9), 2023 | 9 | 2023 |
Anti-concentration property for random digraphs and invertibility of their adjacency matrices AE Litvak, A Lytova, K Tikhomirov, N Tomczak-Jaegermann, P Youssef Comptes Rendus. Mathématique 354 (2), 121-124, 2016 | 8 | 2016 |
The rank of random regular digraphs of constant degree AE Litvak, A Lytova, K Tikhomirov, N Tomczak-Jaegermann, P Youssef Journal of Complexity 48, 103-110, 2018 | 7 | 2018 |
How bad is training on synthetic data? a statistical analysis of language model collapse MEA Seddik, SW Chen, S Hayou, P Youssef, M Debbah arXiv preprint arXiv:2404.05090, 2024 | 6 | 2024 |
A note on quantum expanders C Lancien, P Youssef arXiv preprint arXiv:2302.07772, 2023 | 5 | 2023 |