Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deviations for the Capacity of the Range of a Random Walk   We obtain estimates for large and moderate deviations for the capacity of the
range of a random walk on $\mathbb{Z}^d$, in dimension $d\ge 5$, both in the
upward and downward directions. The results are analogous to those we obtained
for the volume of the range in two companion papers [AS17, AS19].
Interestingly, the main steps of the strategy we developed for the latter apply
in this seemingly different setting, yet the details of the analysis are
different

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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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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: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex