Discretization methods for homogeneous fragmentations. (English) Zbl 1077.60053

Bertoin, Jean; Rouault, Alain

J. Lond. Math. Soc., II. Ser. 72, No. 1, 91-109 (2005).

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)].

Reviewer: Gheorghe Oprişan (Bucureşti)

MSC:

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

Keywords:

branching random walks; dislocation measure; Poisson measures; subordinators

Citations:

Zbl 1042.60042; Zbl 0491.60076