Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Squared-Norm Empirical Process in Banach Space   This note extends a recent result of Mendelson on the supremum of a quadratic
process to squared norms of functions taking values in a Banach space. Our
method of proof is a reduction by a symmetrization argument and observation
about the subadditivity of the generic chaining functional. We provide an
application to the supremum of a linear process in the sample covariance matrix
indexed by finite rank, positive definite matrices.

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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th