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- W4287393092 abstract "Growth-fragmentation processes model the evolution of positive masses which undergo binary divisions. The aim of this paper is twofold. First, we extend the theory of growth-fragmentation processes to allow signed mass. Among others, we introduce genealogical martingales and establish a spinal decomposition for the associated cell system, following arXiv:1605.00581. Then, we study a particular family of such self-similar signed growth-fragmentation processes which arise when cutting half-planar excursions at horizontal levels. When restricting this process to the positive masses, we recover part of the family introduced by Bertoin, Budd, Curien and Kortchemski in arXiv:1605.00581." @default.
- W4287393092 created "2022-07-25" @default.
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- W4287393092 date "2021-01-07" @default.
- W4287393092 modified "2023-10-17" @default.
- W4287393092 title "Self-similar signed growth-fragmentations" @default.
- W4287393092 doi "https://doi.org/10.48550/arxiv.2101.02582" @default.
- W4287393092 hasPublicationYear "2021" @default.
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