Abstract
We show that the genealogy of any self-similar fragmentation process can be encoded in a compact measured real tree. Under some Malthusian hypotheses, we compute the fractal Hausdorff dimension of this tree through the use of a natural measure on the set of its leaves. This generalizes previous work of Haas and Miermont which was restricted to conservative fragmentation processes.
Citation
Robin Stephenson. "General fragmentation trees." Electron. J. Probab. 18 1 - 45, 2013. https://doi.org/10.1214/EJP.v18-2703
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