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

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

2005-02-11

arxiv.org/abs/math/0502226v3

Annals of Probability 2006, Vol. 34, No. 3, 918-961

Mathematics

Probability

Published at http://dx.doi.org/10.1214/009117906000000034 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117906000000034

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 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.

Affiliated with

Also associated with

No associations

Rating

Subtree prune and regraft: a reversible real tree-valued Markov process does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Subtree prune and regraft: a reversible real tree-valued Markov process, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Subtree prune and regraft: a reversible real tree-valued Markov process will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-54910