On the stability of Brunn–Minkowski type inequalities A Colesanti, GV Livshyts, A Marsiglietti Journal of Functional Analysis 273 (3), 1120-1139, 2017 | 57 | 2017 |
An extension of Minkowski's theorem and its applications to questions about projections for measures GV Livshyts Advances in Mathematics 356, 106803, 2019 | 49 | 2019 |
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 | 44 | 2017 |
A note on the quantitative local version of the log-Brunn-Minkowski inequality A Colesanti, GV Livshyts arXiv preprint arXiv:1710.10708, 2017 | 41* | 2017 |
The smallest singular value of inhomogeneous square random matrices GV Livshyts, K Tikhomirov, R Vershynin | 39 | 2021 |
On sharp bounds for marginal densities of product measures G Livshyts, G Paouris, P Pivovarov Israel Journal of Mathematics 216, 877-889, 2016 | 38 | 2016 |
On the -Brunn–Minkowski and Dimensional Brunn–Minkowski Conjectures for Log-Concave Measures J Hosle, AV Kolesnikov, GV Livshyts The Journal of Geometric Analysis 31 (6), 5799-5836, 2021 | 26 | 2021 |
The smallest singular value of heavy-tailed not necessarily iid random matrices via random rounding GV Livshyts Journal d'Analyse Mathématique 145 (1), 257-306, 2021 | 25 | 2021 |
On the Gardner-Zvavitch conjecture: symmetry in inequalities of Brunn-Minkowski type AV Kolesnikov, GV Livshyts Advances in Mathematics 384, 107689, 2021 | 25 | 2021 |
On the local version of the Log-Brunn–Minkowski conjecture and some new related geometric inequalities AV Kolesnikov, GV Livshyts International Mathematics Research Notices 2022 (18), 14427-14453, 2022 | 20 | 2022 |
Maximal surface area of a convex set in with respect to log concave rotation invariant measures G Livshyts Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2011-2013 …, 2014 | 20 | 2014 |
The lower bound for Koldobsky’s slicing inequality via random rounding B Klartag, GV Livshyts Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 …, 2020 | 19 | 2020 |
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 | 18 | 2013 |
On a conjectural symmetric version of Ehrhard's inequality GV Livshyts arXiv preprint arXiv:2103.11433, 2021 | 12 | 2021 |
Some remarks about the maximal perimeter of convex sets with respect to probability measures GV Livshyts Communications in Contemporary Mathematics 23 (05), 2050037, 2021 | 11 | 2021 |
Maximal surface area of polytopes with respect to log-concave rotation invariant measures G Livshyts Advances in Applied Mathematics 70, 54-69, 2015 | 11 | 2015 |
A universal bound in the dimensional Brunn-Minkowski inequality for log-concave measures G Livshyts Transactions of the American Mathematical Society 376 (09), 6663-6680, 2023 | 6 | 2023 |
Uniqueness of a smooth convex body with a uniform cone volume measure in the neighborhood of a ball A Colesanti, G Livshyts preprint, 2020 | 6 | 2020 |
Randomized coverings of a convex body with its homothetic copies, and illumination G Livshyts, K Tikhomirov arXiv preprint arXiv:1606.08876, 2016 | 6 | 2016 |
Distribution of the minimum distance of random linear codes J Hao, H Huang, GV Livshyts, K Tikhomirov IEEE Transactions on Information Theory 68 (10), 6388-6401, 2022 | 4 | 2022 |