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Galyna Livshyts
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Year
On the stability of Brunn–Minkowski type inequalities
A Colesanti, GV Livshyts, A Marsiglietti
Journal of Functional Analysis 273 (3), 1120-1139, 2017
572017
An extension of Minkowski's theorem and its applications to questions about projections for measures
GV Livshyts
Advances in Mathematics 356, 106803, 2019
482019
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
442017
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
372021
On sharp bounds for marginal densities of product measures
G Livshyts, G Paouris, P Pivovarov
Israel Journal of Mathematics 216, 877-889, 2016
372016
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
262021
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
252021
On the Gardner-Zvavitch conjecture: symmetry in inequalities of Brunn-Minkowski type
AV Kolesnikov, GV Livshyts
Advances in Mathematics 384, 107689, 2021
242021
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
202020
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
202014
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
192020
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
172013
On a conjectural symmetric version of Ehrhard's inequality
GV Livshyts
arXiv preprint arXiv:2103.11433, 2021
112021
Some remarks about the maximal perimeter of convex sets with respect to probability measures
GV Livshyts
Communications in Contemporary Mathematics 23 (05), 2050037, 2021
102021
Maximal surface area of polytopes with respect to log-concave rotation invariant measures
G Livshyts
Advances in Applied Mathematics 70, 54-69, 2015
102015
Uniqueness of a smooth convex body with a uniform cone volume measure in the neighborhood of a ball
A Colesanti, G Livshyts
preprint, 2020
62020
Randomized coverings of a convex body with its homothetic copies, and illumination
G Livshyts, K Tikhomirov
arXiv preprint arXiv:1606.08876, 2016
62016
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
52023
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
42022
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