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
48 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
37 2021 On sharp bounds for marginal densities of product measures G Livshyts, G Paouris, P Pivovarov
Israel Journal of Mathematics 216, 877-889, 2016
37 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