Galyna Livshyts

ScholarGPS® ID: 63563573253341

Affiliation
Georgia Institute of Technology, Atlanta, United States
Affiliation History

Field
Physical Sciences and Mathematics
Discipline
Mathematics
Top Specialties
Functional Analysis | Information Theory | Probability
Metrics Summary
Publication Count
22
Predicted Citations
229
Predicted h-index
10
Ranking

Publications and Citation History

Publications based on Top Specialties

Types of Publication

  • Publications
  • Books
  • Patents
  • NIH/NSF
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On a conjectural symmetric version of Ehrhard’s inequality (journal article)
Livshyts, Galyna
Transactions of the American Mathematical Society (2024).
10.1090/tran/9177
Cite | Source
A universal bound in the dimensional Brunn-Minkowski inequality for log-concave measures (journal article)
Livshyts, Galyna
Transactions of the American Mathematical Society (2023).
10.1090/tran/8976
Cited by (1) | Cite | Source
Distribution of the Minimum Distance of Random Linear Codes (journal article)
Hao, Jing | Huang, Han | Livshyts, Galyna V. | Tikhomirov, Konstantin
IEEE Transactions on Information Theory, volume 68, issue 10, pages 6388-6401 (2022).
10.1109/TIT.2022.3170341
Cite | Source
New bounds on the minimal dispersion (journal article)
Litvak, A.E. | Livshyts, G.V.
Journal of Complexity, volume 72 (2022).
10.1016/j.jco.2022.101648
Cited by (4) | Cite | Source
On the Local Version of the Log-Brunn–Minkowski Conjecture and Some New Related Geometric Inequalities (journal article)
Kolesnikov, Alexander V | Livshyts, Galyna V
International Mathematics Research Notices, volume 2022, issue 18, pages 14427-14453 (2022).
10.1093/imrn/rnab142
Cited by (7) | Cite | Source
The smallest singular value of heavy-tailed not necessarily i.i.d. random matrices via random rounding (journal article)
Livshyts, Galyna V.
Journal d'Analyse Mathématique, volume 145, issue 1, pages 257-306 (2021).
10.1007/s11854-021-0183-2
Cited by (5) | Cite | Source
Some remarks about the maximal perimeter of convex sets with respect to probability measures (journal article)
Livshyts, Galyna V.
Communications in Contemporary Mathematics, volume 23, issue 05, pages 2050037- (2021).
10.1142/S0219199720500376
Cited by (4) | Cite | Source
On the Gardner-Zvavitch conjecture: Symmetry in inequalities of Brunn-Minkowski type (journal article)
Kolesnikov, Alexander V. | Livshyts, Galyna V.
Advances in Mathematics, volume 384 (2021).
10.1016/j.aim.2021.107689
Cited by (8) | Cite | Source
On the $$L_p$$-Brunn–Minkowski and Dimensional Brunn–Minkowski Conjectures for Log-Concave Measures (journal article)
Hosle, Johannes | Kolesnikov, Alexander V. | Livshyts, Galyna V.
The Journal of Geometric Analysis, volume 31, issue 6, pages 5799-5836 (2021).
10.1007/s12220-020-00505-z
Cited by (3) | Cite | Source
The smallest singular value of inhomogeneous square random matrices (journal article)
Livshyts, Galyna V. | Tikhomirov, Konstantin | Vershynin, Roman
The Annals of Probability, volume 49, issue 3 (2021).
10.1214/20-AOP1481
Cited by (15) | Cite | Source
6. A note on the quantitative local version of the log-Brunn–Minkowski inequality (book chapter)
In The Mathematical Legacy of Victor Lomonosov
Colesanti, Andrea | Livshyts, Galyna
De Gruyter (2020)
10.1515/9783110656756-006
Cited by (7) | Cite | Source
Distribution of the Minimum Distance of Random Linear Codes (conference)
Hao, Jing | Huang, Han | Livshyts, Galyna | Tikhomirov, Konstantin
2020 IEEE International Symposium on Information Theory (ISIT) (2020)
Los Angeles, CA, USA
10.1109/ISIT44484.2020.9173937
Cited by (1) | Cite | Source
Remarks on the Rényi Entropy of a Sum of IID Random Variables (journal article)
Jaye, Benjamin | Livshyts, Galyna V. | Paouris, Grigoris | Pivovarov, Peter
IEEE Transactions on Information Theory, volume 66, issue 5, pages 2898-2903 (2020).
10.1109/TIT.2019.2961080
Cited by (2) | Cite | Source
The Lower Bound for Koldobsky’s Slicing Inequality via Random Rounding (book chapter)
In Geometric Aspects of Functional Analysis
Klartag, Bo’az | Livshyts, Galyna V.
Springer International Publishing (2020)
10.1007/978-3-030-46762-3_2
Cited by (8) | Cite | Source
Cube is a Strict Local Maximizer for the Illumination Number (journal article)
Livshyts, Galyna | Tikhomirov, Konstantin
Discrete & Computational Geometry, volume 63, issue 1, pages 209-228 (2020).
10.1007/s00454-019-00115-9
Cite | Source
An extension of Minkowski's theorem and its applications to questions about projections for measures (journal article)
Livshyts, Galyna V.
Advances in Mathematics, volume 356 (2019).
10.1016/j.aim.2019.106803
Cited by (21) | Cite | Source
Randomized coverings of a convex body with its homothetic copies, and illumination (journal article)
Livshyts, Galyna | Tikhomirov, Konstantin
Proceedings of the American Mathematical Society (2018).
10.1090/proc/14126
Cited by (2) | Cite | Source | Open Access
On the stability of Brunn–Minkowski type inequalities (journal article)
Colesanti, Andrea | Livshyts, Galyna V. | Marsiglietti, Arnaud
Journal of Functional Analysis, volume 273, issue 3, pages 1120-1139 (2017).
10.1016/j.jfa.2017.04.008
Cited by (29) | Cite | Source
On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalities (journal article)
Livshyts, Galyna | Marsiglietti, Arnaud | Nayar, Piotr | Zvavitch, Artem
Transactions of the American Mathematical Society, volume 369, issue 12, pages 8725-8742 (2017).
10.1090/tran/6928
Cited by (25) | Cite | Source | Open Access
On sharp bounds for marginal densities of product measures (journal article)
Livshyts, Galyna | Paouris, Grigoris | Pivovarov, Peter
Israel Journal of Mathematics, volume 216, issue 2, pages 877-889 (2016).
10.1007/s11856-016-1431-5
Cited by (20) | Cite | Source | Open Access