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- W4287477716 abstract "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 (P.~Biane, textit{Math. Z.} {bf 227}(1998), 143--174). 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 characterized by Bercovici and Voiculescu, textit{Pacific J. Math.} {bf 153}(1992), 217--248. I give an explicit parametrization for the Nevanlinna functions associated with the second kind of free L'evy processes. This gives a nonlinear free L'evy--Khinchine formula." @default.
- W4287477716 created "2022-07-25" @default.
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- W4287477716 date "2020-12-15" @default.
- W4287477716 modified "2023-10-18" @default.
- W4287477716 title "Nonlinear free L'evy--Khinchine formula and conformal mapping" @default.
- W4287477716 doi "https://doi.org/10.7900/jot.2019aug02.2267" @default.
- W4287477716 hasPublicationYear "2020" @default.
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