171 citations
- Centre National de la Recherche ScientifiqueFR8 papers
- University of TübingenDE8 papers
- Forschungszentrum JülichDE7 papers
- Joint Institute for Nuclear ResearchRU6 papers
- Ruhr University BochumDE6 papers
- Charles UniversityCZ5 papers
- Humboldt-Universität zu BerlinDE5 papers
- Max Planck SocietyDE5 papers
- Petersburg Nuclear Physics InstituteRU5 papers
- Technische Universität DresdenDE5 papers
- Université de LorraineFR5 papers
- A. Alikhanyan National LaboratoryAM4 papers
Showing 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…
math.PR2004★ 4 cited
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…