Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Formal Groups, Witt vectors and Free Probability   We establish a link between free probability theory and Witt vectors, via the
theory of formal groups. We derive an exponential isomorphism which expresses
Voiculescu's free multiplicative convolution $\boxtimes$ as a function of the
free additive convolution $\boxplus$. Subsequently we continue our previous
discussion of the relation between complex cobordism and free probability. We
show that the generic $n$th free cumulant corresponds to the cobordism class of
the $(n-1)$-dimensional complex projective space. This permits us to relate
several probability distributions from random matrix theory to known genera,
and to build a dictionary. Finally, we discuss aspects of free probability and
the asymptotic representation theory of the symmetric group from a conformal
field theoretic perspective and show that every distribution with mean zero is
embeddable into the Universal Grassmannian of Sato-Segal-Wilson.

18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph