| Singularity of random Bernoulli matrices K Tikhomirov Annals of Mathematics 191 (2), 593-634, 2020 | 134 | 2020 |
| Exact matching of random graphs with constant correlation C Mao, M Rudelson, K Tikhomirov Probability Theory and Related Fields 186 (1), 327-389, 2023 | 66 | 2023 |
| Sample covariance matrices of heavy-tailed distributions K Tikhomirov International Mathematics Research Notices 2018 (20), 6254-6289, 2018 | 61 | 2018 |
| The spectral gap of dense random regular graphs K Tikhomirov, P Youssef | 55 | 2019 |
| The smallest singular value of inhomogeneous square random matrices GV Livshyts, K Tikhomirov, R Vershynin The Annals of Probability 49 (3), 1286-1309, 2021 | 52 | 2021 |
| 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 | 51 | 2017 |
| The limit of the smallest singular value of random matrices with iid entries K Tikhomirov Advances in Mathematics 284, 1-20, 2015 | 49 | 2015 |
| Coverings of random ellipsoids, and invertibility of matrices with iid heavy-tailed entries E Rebrova, K Tikhomirov Israel Journal of Mathematics 227 (2), 507-544, 2018 | 47 | 2018 |
| The smallest singular value of random rectangular matrices with no moment assumptions on entries KE Tikhomirov Israel Journal of Mathematics 212 (1), 289-314, 2016 | 46 | 2016 |
| Outliers in spectrum of sparse Wigner matrices K Tikhomirov, P Youssef Random Structures & Algorithms 58 (3), 517-605, 2021 | 43 | 2021 |
| On the spectral radius of a random matrix: An upper bound without fourth moment C Bordenave, P Caputo, D Chafaï, K Tikhomirov | 40 | 2018 |
| Random graph matching with improved noise robustness C Mao, M Rudelson, K Tikhomirov Conference on Learning Theory, 3296-3329, 2021 | 39 | 2021 |
| The sparse circular law under minimal assumptions M Rudelson, K Tikhomirov Geometric and Functional Analysis 29 (2), 561-637, 2019 | 31 | 2019 |
| 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 | 31 | 2018 |
| Invertibility via distance for noncentered random matrices with continuous distributions K Tikhomirov Random Structures & Algorithms 57 (2), 526-562, 2020 | 30 | 2020 |
| Singularity of sparse Bernoulli matrices AE Litvak, KE Tikhomirov Duke Mathematical Journal 171 (5), 1135-1233, 2022 | 29 | 2022 |
| Circular law for sparse random regular digraphs AE Litvak, A Lytova, K Tikhomirov, N Tomczak-Jaegermann, P Youssef arXiv preprint arXiv:1801.05576, 2021 | 28 | 2021 |
| On delocalization of eigenvectors of random non-Hermitian matrices A Lytova, K Tikhomirov Probability Theory and Related Fields 177 (1), 465-524, 2020 | 26 | 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 | 20 | 2019 |
| 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 (3), 1301-1347, 2019 | 19 | 2019 |
