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.
"General fragmentation trees." Electron. J. Probab. 18 1 - 45, 2013. https://doi.org/10.1214/EJP.v18-2703