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Self-similar growth-fragmentations as scaling limits of Markov branching\n processes

2017/11/17 by Benjamin Dadoun, Dadoun, Benjamin
Mathematics · Physics and Astronomy · #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Markov Chains and Monte Carlo Methods

paper · pdf · doi:10.48550/arxiv.1711.06675

Abstract

We provide explicit conditions, in terms of the transition kernel of its\ndriving particle, for a Markov branching process to admit a scaling limit\ntoward a self-similar growth-fragmentation with negative index. We also derive\na scaling limit for the genealogical embedding considered as a compact real\ntree.\n

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