Discretization methods for homogeneous fragmentations. (English) Zbl 1077.60053

Using a fundamental idea due to Kingman, the authors refine some of their results concerning the asymptotic behavior of fragmentations [see J. Bertoin, J. Eur. Math. Soc. (JEMS) 5, 395–416 (2003; Zbl 1042.60042)]. Moreover, further applications of the Kingman’s idea to the homogeneous fragmentations are presented.
For a related paper see: J. F. C. Kingman [Stochastic Processes Appl. 13, 235–248 (1982; Zbl 0491.60076)].


60J25 Continuous-time Markov processes on general state spaces
60G09 Exchangeability for stochastic processes
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