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Zbl 0701.60104
Parthasarathy, K.R.
A generalised Biane process. (English)
[A] Séminaire de probabilités XXIV 1988/89, Lect. Notes Math. 1426, 345-348 (1990).

[For the entire collection see Zbl 0695.00024.] \par Using the methods of quantum probability in a toy Fock space and the Peter-Weyl theory of representations of a compact group G, a class of random walks is constructed on the state space of all irreducible characters of G. Such a construction was outlined by {\it Ph. Biane} [see the preceding review, Zbl 0701.60103] for the group $SU\sb 2$.
[K.R.Parthasarathy]

MSC 2000:: *60K35 Interacting random processes
60G50 Sums of independent random variables
46L51 Noncommutative measure and integration
46L53 Noncommutative probability and statistics
46L54 Free probability and free operator algebras
60J10 Markov chains with discrete parameter

Keywords: quantum probability; Fock space

Citations: Zbl 0695.00024; Zbl 0701.60103

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