Self-similar Growth Fragmentations as Scaling Limits of Markov Branching Processes
arXiv: Probability(2019)
摘要
We provide explicit conditions, in terms of the transition kernel of its driving particle, for a Markov branching process to admit a scaling limit toward a self-similar growth fragmentation with negative index. We also derive a scaling limit for the genealogical embedding considered as a compact real tree.
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关键词
Growth fragmentation,Scaling limit,Markov branching tree
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