Year: 2026
Type: preprint
Abstract: Two conjectures of Allman, Long and Rhodes are proven. The ultrametric exchangeable model captures the symmetries in allele distributions of ultrametric mechanistic models of coalescence and substitution in mathematical phylogeny. The dimension of this model with respect to the species tree leaf count is shown to be greatest for caterpillar trees and least for balanced trees.
Source: arXiv (Cornell University)
Author: Leppälä, Kalle
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223098415