36 citations · 178 across the 88 of their papers we have counts for
6 papers · 1 filter
Predicting template-based catalysis rates in a simple catalytic reaction model
Wim Hordijk, Mike Steel
We show that in a particular model of catalytic reaction systems, known as the binary polymer model, there is a mathematical invariance between two versions of the model: (1) rando…
Distribution of branch lengths and phylogenetic diversity under homogeneous speciation models
Tanja Stadler, Mike Steel
The constant rate birth--death process is a popular null model for speciation and extinction. If one removes extinct and non-sampled lineages, this process induces `reconstructed t…
'Bureaucratic' set systems, and their role in phylogenetics
David Bryant, Mike Steel
We say that a collection $\Cc$ of subsets of is {\em bureaucratic} if every maximal hierarchy on contained in $\Cc$ is also maximum. We characterise bureaucratic set system…
The 'Butterfly effect' in Cayley graphs, and its relevance for evolutionary genomics
Vincent Moulton, Mike Steel
Suppose a finite set is repeatedly transformed by a sequence of permutations of a certain type acting on an initial element to produce a final state . We investigate how…
`Lassoing' a phylogenetic tree I: Basic properties, shellings, and covers
A. W. M. Dress, K. T. Huber, M. Steel
A classical result, fundamental to evolutionary biology, states that an edge-weighted tree with leaf set , positive edge weights, and no vertices of degree 2 can be uniquely…
Clades, clans and reciprocal monophyly under neutral evolutionary models
Sha Zhu, James H. Degnan, Mike Steel
The Yule model and the coalescent model are two neutral stochastic models for generating trees in phylogenetics and population genetics, respectively. Although these models are qui…