Mladenov, Ivaïlo 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 (ISBN 954-84952-9-5/pbk). 276-283 (2005).
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
-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.