Galyna V. Livshyts
Welcome to my webpage! I am an Associate professor at the Mathematics Department at Georgia Institute of Technology. I work in Asymptotic Analysis and
Convex geometry, which means that I like a lot the following areas of math: High-dimensional Probability, Concentration of measure phenomena, Geometric Analysis, Random matrix theory, Harmonic Analysis, Discrete and Combinatorial geometry. This research is supported by NSF-BSF DMS-2247834, in collaboration with Liran Rotem from Technion University.
E-mail:
glivshyts6@math.gatech.edu
Address: Room 108C, Skiles bldg, located at 686 Cherry street NW, Atlanta, GA, 30332.
A. Colesanti, A. V. Kolesnikov, G. V. Livshyts, L. Rotem, On Weighted Blaschke-Santalo and strong Brascamp-Lieb inequalities, preprint.
A. Colesanti, E. Francini, G. V. Livshyts, P. Salani, The Brunn-Minkowski inequality for the first eigenvalue of the Ornstein-Uhlenbeck operator and log-concavity of the relevant eigenfunction, submitted.
O. Herscovici, G. V. Livshyts, L. Rotem, A. Volberg, Stability and the equality case in the B-theorem, submitted.
O. Herscovici, G. V. Livshyts, Kohler-Jobin meets Ehrhard: the sharp lower bound for the Gaussian principal frequency while the Gaussian torsional rigidity is fixed, via rearrangements, to appear in Proceedings of the AMS.
A.E. Litvak, G. V. Livshyts, New bounds on the minimal dispersion, J. of Complexity, 72 (2022), 101648.
G. Bonnet, D. Dadush, U. Grupel, S. Huberts, G. V. Livshyts, Combinatorial diameter of random polytopes, 38th Symposium on Computational Geometry (SoCG 2022).
G. V. Livshyts, A universal bound in the dimensional Brunn-Minkowski inequality for log-concave measures, Trans. Amer. Math. Soc. 376 (2023), 6663-6680.
G. V. Livshyts, On a conjectural symmetric version of Ehrhard's inequality, to appear in Trans. Amer. Math. Soc.
A. V. Kolesnikov, G. V. Livshyts, On the Local version of the Log-Brunn-Minkowski conjecture and some new related geometric inequalities,
International Mathematics Research Notices, 142, 08 June 2021. See also