Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probability Mass of Rademacher Sums Beyond One Standard Deviation   Let $a_1, \dots, a_n \in \mathbb{R}$ satisfy $\sum_i a_i^2 = 1$, and let
$\varepsilon_1, \ldots, \varepsilon_n$ be uniformly random $\pm 1$ signs and $X
= \sum_{i=1}^{n} a_i \varepsilon_i$. It is conjectured that $X = \sum_{i=1}^{n}
a_i \varepsilon_i$ has $\Pr[X \geq 1] \geq 7/64$. The best lower bound so far
is $1/20$, due to Oleszkiewicz. In this paper we improve this to $\Pr[X \geq 1]
\geq 6/64$.

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The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th