Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Empirical and Gaussian processes on Besov classes   We give several conditions for pregaussianity of norm balls of Besov spaces
defined over $\mathbb{R}^d$ by exploiting results in Haroske and Triebel
(2005). Furthermore, complementing sufficient conditions in Nickl and
P\"{o}tscher (2005), we give necessary conditions on the parameters of the
Besov space to obtain the Donsker property of such balls. For certain parameter
combinations Besov balls are shown to be pregaussian but not Donsker.

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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg