Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Hopf algebra of parking functions   If the moments of a probability measure on $\R$ are interpreted as a
specialization of complete homogeneous symmetric functions, its free cumulants
are, up to sign, the corresponding specializations of a sequence of Schur
positive symmetric functions $(f_n)$. We prove that $(f_n)$ is the Frobenius
characteristic of the natural permutation representation of $\SG_n$ on the set
of prime parking functions. This observation leads us to the construction of a
Hopf algebra of parking functions, which we study in some detail.

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The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: eess
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
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The categories of this paper are: stat
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
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The categories of this paper are: supr-con