Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singularity of Random Matrices over Finite Fields   Let $A$ be an $n \times n$ random matrix with iid entries over a finite field
of order $q$. Suppose that the entries do not take values in any additive coset
of the field with probability greater than $1 - \alpha$ for some fixed $0 <
\alpha < 1$. We show that the singularity probability converges to the uniform
limit with an exponentially small error depending only on $\alpha$. We also
show that the distribution of the determinant of $A$ converges to its limiting
distribution at an exponential rate.

18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat