Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear free L\'evy-Khinchine formula and conformal mapping   There are two natural notions of L\'evy processes in free probability: the
first one has free increments with homogeneous distributions and the other has
homogeneous transition probabilities. In the two cases one can associate a
Nevanlinna function to a free L\'evy process. The Nevanlinna functions
appearing in the first notion were characterised by Bercovici and Voiculescu. I
give an explicit parametrisation for the Nevanlinna functions associated with
the second kind of free L\'evy processes. This gives a nonlinear free
L\'evy-Khinchine formula.

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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an