Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Hsu-Robbins-Erd\H{o}s strong law in first-passage percolation   Large deviations in the context of first-passage percolation was first
studied in the early 1980s by Grimmett and Kesten, and has since been revisited
in a variety of studies. However, none of these studies provides a precise
relation between the existence of moments of polynomial order and the decay of
probability tails. Such a relation is derived in this paper, and is used to
strengthen the conclusion of the shape theorem. In contrast to its
one-dimensional counterpart - the Hsu-Robbins-Erd\H{o}s strong law - this
strengthening is obtained without imposing a higher-order moment condition.

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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga