The infinite volume limit of Ford's alpha model

Details The infinite volume limit of Ford's alpha model The infinite volume limit of Ford's alpha model

2009-11-11

arxiv.org/abs/0911.2140v1

Acta Physica Polonica B Proc. Suppl. vol.2, no.3 page 555 (2009)

Physics

Mathematical Physics

7 pages, 3 figures

Scientific paper

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.

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