Abstract
We prove the existence of a limit of the finite volume probability measures generated by tree growth rules in Ford's alpha model of phylogenetic trees. The limiting measure is shown to be concentrated on the set of trees consisting of exactly one infinite spine with finite, identically and independently distributed outgrowths.
| Original language | English |
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| Pages (from-to) | 555-562 |
| Number of pages | 8 |
| Journal | Acta Physica Polonica B, Proceedings Supplement |
| Volume | 2 |
| Issue number | 3 |
| Publication status | Published - 2009 |
| Event | 49th Cracow School of Theoretical Physics - Zakopane, Poland Duration: 31 May 2009 → 10 Jun 2009 |