Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deviation of ergodic averages for rational polygonal billiards   We prove polynomial upper bounds for the deviation of ergodic averages for
the straight line flow on every translation surface in almost every direction,
in particular for those surfaces arising from rational polygonal billiards.

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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
1
The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex