On the stability of Brunn–Minkowski type inequalities A Colesanti, GV Livshyts, A Marsiglietti Journal of Functional Analysis 273 (3), 1120-1139, 2017 | 26* | 2017 |

On sharp bounds for marginal densities of product measures G Livshyts, G Paouris, P Pivovarov Israel Journal of Mathematics 216 (2), 877-889, 2016 | 25 | 2016 |

On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalities G Livshyts, A Marsiglietti, P Nayar, A Zvavitch Transactions of the American Mathematical Society 369 (12), 8725-8742, 2017 | 21 | 2017 |

An extension of Minkowski's theorem and its applications to questions about projections for measures GV Livshyts Advances in Mathematics 356, 106803, 2019 | 15 | 2019 |

The smallest singular value of inhomogeneous square random matrices GV Livshyts, K Tikhomirov, R Vershynin arXiv preprint arXiv:1909.04219, 2019 | 12 | 2019 |

Maximal Surface Area of a Convex Set in with Respect to Log Concave Rotation Invariant Measures G Livshyts Geometric aspects of functional analysis, 355-383, 2014 | 12 | 2014 |

A note on the quantitative local version of the log-Brunn-Minkowski inequality A Colesanti, GV Livshyts arXiv preprint arXiv:1710.10708, 2017 | 10* | 2017 |

The smallest singular value of heavy-tailed not necessarily iid random matrices via random rounding GV Livshyts arXiv preprint arXiv:1811.07038, 2018 | 9 | 2018 |

Maximal surface area of a convex set in Rn with respect to exponential rotation invariant measures G Livshyts Journal of Mathematical Analysis and applications 404 (2), 231-238, 2013 | 8 | 2013 |

On the local version of the Log-Brunn-Minkowski conjecture and some new related geometric inequalities AV Kolesnikov, GV Livshyts arXiv preprint arXiv:2004.06103, 2020 | 6 | 2020 |

On the Gardner-Zvavitch conjecture: symmetry in the inequalities of Brunn-Minkowski type AV Kolesnikov, GV Livshyts arXiv preprint arXiv:1807.06952, 2018 | 6 | 2018 |

The lower bound for Koldobsky’s slicing inequality via random rounding B Klartag, GV Livshyts Geometric Aspects of Functional Analysis, 43-63, 2020 | 5 | 2020 |

On the -Brunn-Minkowski and dimensional Brunn-Minkowski conjectures for log-concave measures J Hosle, AV Kolesnikov, GV Livshyts arXiv preprint arXiv:2003.05282, 2020 | 4 | 2020 |

Randomized coverings of a convex body with its homothetic copies, and illumination G Livshyts, K Tikhomirov arXiv preprint arXiv:1606.08876, 2016 | 4 | 2016 |

Maximal surface area of polytopes with respect to log-concave rotation invariant measures G Livshyts Advances in Applied Mathematics 70, 54-69, 2015 | 4 | 2015 |

Remarks on the Rényi Entropy of a sum of IID random variables B Jaye, GV Livshyts, G Paouris, P Pivovarov IEEE Transactions on Information Theory 66 (5), 2898-2903, 2019 | 2 | 2019 |

On the maximal perimeter of convex sets with respect to probability measures G Livshyts 2020 Fall Southeastern Virtual Sectional Meeting, 2020 | | 2020 |

Some remarks about the maximal perimeter of convex sets with respect to probability measures GV Livshyts Communications in Contemporary Mathematics, 2050037, 2020 | | 2020 |

Cube is a strict local maximizer for the illumination number G Livshyts, K Tikhomirov Discrete & Computational Geometry 63 (1), 209-228, 2020 | | 2020 |

Distribution of the minimal distance of random linear codes J Hao, H Huang, G Livshyts, K Tikhomirov arXiv preprint arXiv:1912.12833, 2019 | | 2019 |