Bertoin, Jean Homogeneous fragmentation processes. (English) Zbl 0992.60076 Probab. Theory Relat. Fields 121, No. 3, 301-318 (2001). The author introduces a new Markovian process valued in the space of partitions of N, which describes the continuous random splitting of a given initial mass. This process can be viewed as a “marked” continuous state branching process. His main result is a Lévy-Itô representation, which decomposes the infinitesimal fragmentation into an erosion and a sudden dislocation. Asymptotic frequencies of blocks are also studied, with links to the theory of subordinators. Reviewer: Thomas Simon (Évry) Cited in 1 ReviewCited in 43 Documents MSC: 60J25 Continuous-time Markov processes on general state spaces 60G09 Exchangeability for stochastic processes Keywords:fragmentation; exchangeable partitions; subordinator × Cite Format Result Cite Review PDF Full Text: DOI