Subtree prune and regraft: a reversible real tree-valued Markov process

Simple item page
dc.creatorEvans, Steven N.
dc.creatorWinter, Anita
dc.date2005-02-11
dc.date2006-06-29
dc.date.accessioned2026-07-07T06:39:25Z
dc.date.available2026-07-07T06:39:25Z
dc.descriptionWe 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 inspired by the subtree prune and regraft (SPR) Markov chains that appear in phylogenetic analysis. A key technical ingredient in this work is the use of a novel Gromov--Hausdorff type distance to metrize the space whose elements are compact real trees equipped with a probability measure. Also, the investigation of the Dirichlet form hinges on a new path decomposition of the Brownian excursion.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117906000000034 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0502226
dc.identifierhttp://arxiv.org/abs/math/0502226
dc.identifierAnnals of Probability 2006, Vol. 34, No. 3, 918-961
dc.identifierdoi:10.1214/009117906000000034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101072
dc.subjectProbability
dc.subjectMetric Geometry
dc.subjectPopulations and Evolution
dc.subjectQuantitative Methods
dc.subject60J25, 60J75 (Primary) 92B10 (Secondary)
dc.titleSubtree prune and regraft: a reversible real tree-valued Markov process
dc.typetext

Files

Collections

arXiv