7.2k citations
- Centre National de la Recherche ScientifiqueFR259 papers
- Max Planck Institute for the Science of LightDE226 papers
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- The University of AdelaideAU171 papers
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Showing 2005 · math.PRShow all
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math.PR2005★ 38 cited
The stepping stone model. II: Genealogies and the infinite sites model
Iljana Zahle, J. Theodore Cox, Richard Durrett
This paper extends earlier work by Cox and Durrett, who studied the coalescence times for two lineages in the stepping stone model on the two-dimensional torus. We show that the ge…
math.PR2005★ 57 cited
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…