Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An upper bound on the smallest singular value of a square random matrix   Let $A = (a_{ij})$ be a square $n\times n$ matrix with i.i.d. zero mean and
unit variance entries. Rudelson and Vershynin showed that the upper bound for a
smallest singular value $s_n(A)$ is of order $n^{-\frac12}$ with probability
close to one under additional assumption on entries of $A$ that
$\mathbb{E}a^4_{11} < \infty$. We remove the assumption on the fourth moment
and show the upper bound assuming only $\mathbb{E}a^2_{11} = 1.$

18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys