Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exchangeable pairs on Wiener chaos   In [14], Nourdin and Peccati combined the Malliavin calculus and Stein's
method of normal approximation to associate a rate of convergence to the
celebrated fourth moment theorem [19] of Nualart and Peccati. Their analysis,
known as the Malliavin-Stein method nowadays, has found many applications
towards stochastic geometry, statistical physics and zeros of random
polynomials, to name a few. In this article, we further explore the relation
between these two fields of mathematics. In particular, we construct
exchangeable pairs of Brownian motions and we discover a natural link between
Malliavin operators and these exchangeable pairs. By combining our findings
with E. Meckes' infinitesimal version of exchangeable pairs, we can give
another proof of the quantitative fourth moment theorem. Finally, we extend our
result to the multidimensional case.

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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
1
The categories of this paper are: cs
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The categories of this paper are: bayes-an