Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A metric theory of minimal gaps   We study the minimal gap statistic for fractional parts of sequences of the
form $\mathcal A^\alpha = \{\alpha a(n)\}$ where $\mathcal A = \{a(n)\}$ is a
sequence of distinct of integers. Assuming that the additive energy of the
sequence is close to its minimal possible value, we show that for almost all
$\alpha$, the minimal gap $\delta_{\min}^\alpha(N)=\min\{\alpha a(m)-\alpha
a(n)\bmod 1: 1\leq m\neq n\leq N\}$ is close to that of a random sequence.

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The categories of this paper are: eess
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The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ