57 citations · 81 across the 6 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
Continuum-sites stepping-stone models, coalescing exhcangeable partitions, and random trees
Peter Donnelly, Steven N. Evans, Klaus Fleischmann +2
Analogues of stepping--stone models are considered where the site--space is continuous, the migration process is a general Markov process, and the type--space is infinite. Such pro…
Local fields, Gaussian measures, and Brownian motions
Steven N. Evans
These are lecture notes from a course given at the CRM in Montreal in 1992. They survey the author's attempts to find and understand canonical probabilistic entities in a local fie…