Self-similar Growth Fragmentations as Scaling Limits of Markov Branching Processes

Benjamin Dadoun ()
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Benjamin Dadoun: Universität Zürich

Journal of Theoretical Probability, 2020, vol. 33, issue 2, 590-610

Abstract: Abstract 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.

Keywords: Growth fragmentation; Scaling limit; Markov branching tree; 60F17; 60J80 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10959-019-00975-0

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