General Fragmentation Trees
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...
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| creator | Stephenson, Robin |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.1303.6873 |
| format | Article |
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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.</abstract><doi>10.48550/arxiv.1303.6873</doi><oa>free_for_read</oa></addata></record> |
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| identifier | DOI: 10.48550/arxiv.1303.6873 |
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| subjects | Mathematics - Probability |
| title | General Fragmentation Trees |
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