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 | 32 | 2017 |

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 | 29 | 2018 |

The limit of the smallest singular value of random matrices with iid entries K Tikhomirov Advances in Mathematics 284, 1-20, 2015 | 27 | 2015 |

Singularity of random Bernoulli matrices K Tikhomirov Annals of Mathematics 191 (2), 593-634, 2020 | 26 | 2020 |

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 | 23 | 2016 |

The spectral gap of dense random regular graphs K Tikhomirov, P Youssef The Annals of Probability 47 (1), 362-419, 2019 | 14 | 2019 |

On the spectral radius of a random matrix: An upper bound without fourth moment C Bordenave, P Caputo, D Chafaļ, K Tikhomirov The Annals of Probability 46 (4), 2268-2286, 2018 | 14 | 2018 |

The smallest singular value of a shifted *d*-regular random square matrixAE Litvak, A Lytova, K Tikhomirov, N Tomczak-Jaegermann, P Youssef Probability Theory and Related Fields 173 (3-4), 1301-1347, 2019 | 13 | 2019 |

Sample covariance matrices of heavy-tailed distributions K Tikhomirov International Mathematics Research Notices 2018 (20), 6254-6289, 2018 | 13 | 2018 |

Circular law for sparse random regular digraphs A Litvak, A Lytova, K Tikhomirov, N Tomczak-Jaegermann, P Youssef arXiv preprint arXiv:1801.05576, 2018 | 13 | 2018 |

Invertibility via distance for noncentered random matrices with continuous distributions K Tikhomirov Random Structures & Algorithms, 2020 | 10 | 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 | 10 | 2019 |

On delocalization of eigenvectors of random non-Hermitian matrices A Lytova, K Tikhomirov Probability Theory and Related Fields, 1-60, 2019 | 9 | 2019 |

On the convergence of the extremal eigenvalues of empirical covariance matrices with dependence D Chafaļ, K Tikhomirov Probability Theory and Related Fields 170 (3-4), 847-889, 2018 | 9 | 2018 |

The Randomized Dvoretzky’s Theorem in and the χ-Distribution KE Tikhomirov Geometric aspects of functional analysis, 455-463, 2014 | 9 | 2014 |

Superconcentration, and randomized Dvoretzky's theorem for spaces with 1-unconditional bases K Tikhomirov Journal of Functional Analysis 274 (1), 121-151, 2018 | 8 | 2018 |

The sparse circular law under minimal assumptions M Rudelson, K Tikhomirov Geometric and Functional Analysis 29 (2), 561-637, 2019 | 7 | 2019 |

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 |

On the existence of RUC systems in rearrangement invariant spaces SV Astashkin, GP Curbera, KE Tikhomirov Mathematische Nachrichten 289 (2-3), 175-186, 2016 | 7 | 2016 |

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 Mathematique 354 (2), 121-124, 2016 | 7 | 2016 |