Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fixed Points of Parking Functions   We define an action of words in $[m]^n$ on $\mathbb{R}^m$ to give a new
characterization of rational parking functions---they are exactly those words
whose action has a fixed point. We use this viewpoint to give a simple
definition of Gorsky, Mazin, and Vazirani's zeta map on rational parking
functions when m and n are coprime, and prove that this zeta map is invertible.
A specialization recovers Loehr and Warrington's sweep map on rational Dyck
paths.

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The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga