2 citations · 4 across the 22 of their papers we have counts for
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math.PR2018
The smallest singular value of heavy-tailed not necessarily i.i.d. random matrices via random rounding
Galyna V. Livshyts
We are concerned with the small ball behavior of the smallest singular value of random matrices. Often, establishing such results involves, in some capacity, a discretization of th…
math.MG2018
The lower bound for Koldobsky's slicing inequality via random rounding
Bo'az Klartag, Galyna V. Livshyts
We study the lower bound for Koldobsky's slicing inequality. We show that there exists a measure and a symmetric convex body , such that for all $ξ\in…
math.AP2018
On the Gardner-Zvavitch conjecture: symmetry in the inequalities of Brunn-Minkowski type
Alexander V. Kolesnikov, Galyna V. Livshyts
In this paper, we study the conjecture of Gardner and Zvavitch from \cite{GZ}, which suggests that the standard Gaussian measure enjoys -concavity with respect to…