Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariance principles for homogeneous sums: Universality of Gaussian
  Wiener chaos   We compute explicit bounds in the normal and chi-square approximations of
multilinear homogenous sums (of arbitrary order) of general centered
independent random variables with unit variance. In particular, we show that
chaotic random variables enjoy the following form of universality: (a) the
normal and chi-square approximations of any homogenous sum can be completely
characterized and assessed by first switching to its Wiener chaos counterpart,
and (b) the simple upper bounds and convergence criteria available on the
Wiener chaos extend almost verbatim to the class of homogeneous sums.

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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org