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- W2948492238 abstract "We consider the class of exchangeable fragmentation-coagulation (EFC) processes where coagulations are multiple and not simultaneous, as in a Λ-coalescent, and fragmentation dislocates at a finite rate an individual block into sub-blocks of infinite size. We call these partition-valued processes simple EFC processes, and study the question whether such a process, when started with infinitely many blocks, can visit partitions with a finite number of blocks or not. When this occurs, one says that the process comes down from infinity. We introduce two sharp parameters θ⋆≤θ⋆∈[0,∞], so that if θ⋆<1, the process comes down from infinity and if θ⋆>1, then it stays infinite. We illustrate our result with regularly varying coagulation and fragmentation measures. In this case, the parameters θ⋆, θ⋆ coincide and are explicit." @default.
- W2948492238 created "2019-06-14" @default.
- W2948492238 creator A5060170442 @default.
- W2948492238 date "2022-02-01" @default.
- W2948492238 modified "2023-09-30" @default.
- W2948492238 title "A phase transition in the coming down from infinity of simple exchangeable fragmentation-coagulation processes" @default.
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- W2948492238 doi "https://doi.org/10.1214/21-aap1691" @default.
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