Singularity of random Bernoulli matrices K Tikhomirov Annals of Mathematics 191 (2), 593-634, 2020 | 102 | 2020 |
The spectral gap of dense random regular graphs K Tikhomirov, P Youssef The Annals of Probability 47 (1), 362-419, 2019 | 47 | 2019 |
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 | 45 | 2017 |
Sample covariance matrices of heavy-tailed distributions K Tikhomirov International Mathematics Research Notices 2018 (20), 6254-6289, 2018 | 44 | 2018 |
Coverings of random ellipsoids, and invertibility of matrices with iid heavy-tailed entries E Rebrova, K Tikhomirov Israel Journal of Mathematics 227, 507-544, 2018 | 41 | 2018 |
The smallest singular value of inhomogeneous square random matrices GV Livshyts, K Tikhomirov, R Vershynin | 40 | 2021 |
The limit of the smallest singular value of random matrices with iid entries K Tikhomirov Advances in Mathematics 284, 1-20, 2015 | 40 | 2015 |
The smallest singular value of random rectangular matrices with no moment assumptions on entries KE Tikhomirov Israel Journal of Mathematics 212, 289-314, 2016 | 37 | 2016 |
Exact matching of random graphs with constant correlation C Mao, M Rudelson, K Tikhomirov Probability Theory and Related Fields 186 (1), 327-389, 2023 | 35 | 2023 |
Outliers in spectrum of sparse Wigner matrices K Tikhomirov, P Youssef Random Structures & Algorithms 58 (3), 517-605, 2021 | 29 | 2021 |
On the spectral radius of a random matrix: An upper bound without fourth moment C Bordenave, P Caputo, D Chafaï, K Tikhomirov | 29 | 2018 |
On the convergence of the extremal eigenvalues of empirical covariance matrices with dependence D Chafaï, K Tikhomirov Probability Theory and Related Fields 170 (3), 847-889, 2018 | 27 | 2018 |
Circular law for sparse random regular digraphs AE Litvak, A Lytova, K Tikhomirov, N Tomczak-Jaegermann, P Youssef arXiv preprint arXiv:1801.05576, 2021 | 24 | 2021 |
Singularity of sparse Bernoulli matrices AE Litvak, KE Tikhomirov Duke Mathematical Journal 171 (5), 1135-1233, 2022 | 21 | 2022 |
Invertibility via distance for noncentered random matrices with continuous distributions K Tikhomirov Random Structures & Algorithms 57 (2), 526-562, 2020 | 21 | 2020 |
The sparse circular law under minimal assumptions M Rudelson, K Tikhomirov Geometric and Functional Analysis 29, 561-637, 2019 | 21 | 2019 |
Random graph matching with improved noise robustness C Mao, M Rudelson, K Tikhomirov Conference on Learning Theory, 3296-3329, 2021 | 20 | 2021 |
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 |
On delocalization of eigenvectors of random non-Hermitian matrices A Lytova, K Tikhomirov Probability Theory and Related Fields 177 (1), 465-524, 2020 | 17 | 2020 |
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 | 17 | 2019 |