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• W2046060018 abstract "We study here the fragmentation processes that can be derived from Lévy processes with no positive jumps in the same manner as in the case of a Brownian motion (cf. Bertoin [4]). One of our motivations is that such a representation of fragmentation processes by excursion-type functions induces a particular order on the fragments which is closely related to the additivity of the coalescent kernel. We identify the fragmentation processes obtained this way as a mixing of time-reversed extremal additive coalescents by analogy with the work of Aldous and Pitman [2], and we make its semigroup explicit." @default.
• W2046060018 created "2016-06-24" @default.
• W2046060018 creator A5061258160 @default.
• W2046060018 date "2001-01-01" @default.
• W2046060018 modified "2023-09-26" @default.
• W2046060018 title "Ordered Additive Coalescent and Fragmentations Associated to Lévy Processes with No Positive Jumps" @default.
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• W2046060018 doi "https://doi.org/10.1214/ejp.v6-87" @default.
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