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Zbl 1078.60067
Leandre, Remi
Galton-Watson tree and branching loops. (English)
[A] Mladenov, Iva\"ilo M.(ed.) et al., Proceedings of the 6th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 3--10, 2004. Sofia: Bulgarian Academy of Sciences. 276-283 (2005). ISBN 954-84952-9-5/pbk

The paper starts with a survey of related works. In the second part, the author recalls a construction of the branching mechanism of a loop in two loops in a $1+1$-dimensional theory. Then by using a binary Galton-Watson process, the author iterates the branching mechanism and obtains a random tree labelled by the loop space, that satisfies a certain Markov property.
[Aleksander Iksanov (Kiev)]
MSC 2000:
*60J80 Branching processes

Keywords: branching mechanism; Galton-Watson process; loop space

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