Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: L\'evy group and density measures   We will deal with finitely additive measures on integers extending the
asymptotic density. We will study their relation to the L\'evy group
$\mathcal{G}$ of permutations of $\mathbb N$. Using a new characterization of
the L\'evy group $\mathcal G$ we will prove that a finitely additive measure
extends density if and only if it is $\mathcal{G}$-invariant.

21
The categories of this paper are: adap-org
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The categories of this paper are: eess
13
The categories of this paper are: quant-ph
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: cmp-lg
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
9
The categories of this paper are: nlin