Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-Monte Carlo methods for integration of functions with dominating
  mixed smoothness in arbitrary dimension   In a celebrated construction, Chen and Skriganov gave explicit examples of
point sets achieving the best possible $L_2$-norm of the discrepancy function.
We consider the discrepancy function of the Chen-Skriganov point sets in Besov
spaces with dominating mixed smoothness and show that they also achieve the
best possible rate in this setting. The proof uses a $b$-adic generalization of
the Haar system and corresponding characterizations of the Besov space norm.
Results for further function spaces and integration errors are concluded.

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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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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: hep-ex