2 citations · 4 across the 22 of their papers we have counts for
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Distribution of the minimal distance of random linear codes
Jing Hao, Han Huang, Galyna Livshyts +1
In this paper, we study the distribution of the minimal distance (in the Hamming metric) of a random linear code of dimension in . We provide quantitative estim…
The smallest singular value of inhomogeneous square random matrices
Galyna V. Livshyts, Konstantin Tikhomirov, Roman Vershynin
We show that for an random matrix with independent uniformly anti-concentrated entries, such that , the smallest singular value $…
Some remarks about the maximal perimeter of convex sets with respect to probability measures
Galyna V. Livshyts
In this note we study the maximal perimeter of a convex set in with respect to various classes of measures. Firstly, we show that for a probability measure on $…
Remarks on the Rényi Entropy of a sum of IID random variables
Benjamin Jaye, Galyna V. Livshyts, Grigoris Paouris +1
In this note we study a conjecture of Madiman and Wang which predicted that the generalized Gaussian distribution minimizes the Rényi entropy of the sum of independent random varia…