57 citations · 81 across the 6 of their papers we have counts for
8 papers
Subtree prune and regraft: a reversible real tree-valued Markov process
Steven N. Evans, Anita Winter
We use Dirichlet form methods to construct and analyze a reversible Markov process, the stationary distribution of which is the Brownian continuum random tree. This process is insp…
Unidentifiable divergence times in rates-across-sites models
Steven N. Evans, Tandy Warnow
The rates-across-sites assumption in phylogenetic inference posits that the rate matrix governing the Markovian evolution of a character on an edge of the putative phylogenetic tre…
Balls-in-boxes duality for coalescing random walks and coalescing Brownian motions
Steven N. Evans, Xiaowen Zhou
We present a duality relation between two systems of coalescing random walks and an analogous duality relation between two systems of coalescing Brownian motions. Our results exten…
Quasistationary distributions for one-dimensional diffusions with killing
David Steinsaltz, Steven N. Evans
We extend some results on the convergence of one-dimensional diffusions killed at the boundary, conditioned on extended survival, to the case of general killing on the interior. We…
A generalized model of mutation-selection balance with applications to aging
David Steinsaltz, Steven N. Evans, Kenneth W. Wachter
A probability model is presented for the dynamics of mutation-selection balance in a haploid infinite-population infinite-sites setting sufficiently general to cover mutation-drive…
Rayleigh processes, real trees, and root growth with re-grafting
Steven N. Evans, Jim Pitman, Anita Winter
The real trees form a class of metric spaces that extends the class of trees with edge lengths by allowing behavior such as infinite total edge length and vertices with infinite br…