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math.PR2021
Distributions of cherries and pitchforks for the Ford model
Gursharn Kaur, Kwok Pui Choi, Taoyang Wu
We study two fringe subtree counting statistics, the number of cherries and that of pitchforks for Ford's model, a one-parameter family of random phylogenetic tree models that…
math.PR2021
On asymptotic joint distributions of cherries and pitchforks for random phylogenetic trees
Kwok Pui Choi, Gursharn Kaur, Taoyang Wu
Tree shape statistics provide valuable quantitative insights into evolutionary mechanisms underpinning phylogenetic trees, a commonly used graph representation of evolution systems…
math.PR2020
On cherry and pitchfork distributions of random rooted and unrooted phylogenetic trees
Kwok Pui Choi, Ariadne Thompson, Taoyang Wu
Tree shape statistics are important for investigating evolutionary mechanisms mediating phylogenetic trees. As a step towards bridging shape statistics between rooted and unrooted…