Random ultrametric trees and applications*
Ultrametric trees are trees whose leaves lie at the same distance from the root. They are used to model the genealogy of a population of particles co-existing at the same point in time. We show how the boundary of an ultrametric tree, like any compact ultrametric space, can be represented in a simpl...
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| Materiálatiipa: | Artihkal |
| Giella: | English |
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EDP Sciences
2017-01-01
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| Ráidu: | ESAIM: Proceedings and Surveys |
| Fáttát: | |
| Liŋkkat: | https://doi.org/10.1051/proc/201760070 |
| _version_ | 1828077088538624000 |
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| author | Lambert Amaury |
| author_facet | Lambert Amaury |
| author_sort | Lambert Amaury |
| collection | DOAJ |
| description | Ultrametric trees are trees whose leaves lie at the same distance from the root. They are used to model the genealogy of a population of particles co-existing at the same point in time. We show how the boundary of an ultrametric tree, like any compact ultrametric space, can be represented in a simple way via the so-called comb metric. We display a variety of examples of random combs and explain how they can be used in applications. In particular, we review some old and recent results regarding the genetic structure of the population when throwing neutral mutations on the skeleton of the tree. |
| first_indexed | 2024-04-11T02:24:32Z |
| format | Article |
| id | doaj.art-312d80c1d72646bcacf21d137a4b51f6 |
| institution | Directory Open Access Journal |
| issn | 2267-3059 |
| language | English |
| last_indexed | 2024-04-11T02:24:32Z |
| publishDate | 2017-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ESAIM: Proceedings and Surveys |
| spelling | doaj.art-312d80c1d72646bcacf21d137a4b51f62023-01-02T22:52:04ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592017-01-0160708910.1051/proc/201760070proc186003Random ultrametric trees and applications*Lambert AmauryUltrametric trees are trees whose leaves lie at the same distance from the root. They are used to model the genealogy of a population of particles co-existing at the same point in time. We show how the boundary of an ultrametric tree, like any compact ultrametric space, can be represented in a simple way via the so-called comb metric. We display a variety of examples of random combs and explain how they can be used in applications. In particular, we review some old and recent results regarding the genetic structure of the population when throwing neutral mutations on the skeleton of the tree.https://doi.org/10.1051/proc/201760070random treereal treereduced treecoalescent point processbranching processrandom point measureallelic partitionregenerative setcoalescentcombphylogeneticspopulation dynamicspopulation genetics |
| spellingShingle | Lambert Amaury Random ultrametric trees and applications* ESAIM: Proceedings and Surveys random tree real tree reduced tree coalescent point process branching process random point measure allelic partition regenerative set coalescent comb phylogenetics population dynamics population genetics |
| title | Random ultrametric trees and applications* |
| title_full | Random ultrametric trees and applications* |
| title_fullStr | Random ultrametric trees and applications* |
| title_full_unstemmed | Random ultrametric trees and applications* |
| title_short | Random ultrametric trees and applications* |
| title_sort | random ultrametric trees and applications |
| topic | random tree real tree reduced tree coalescent point process branching process random point measure allelic partition regenerative set coalescent comb phylogenetics population dynamics population genetics |
| url | https://doi.org/10.1051/proc/201760070 |
| work_keys_str_mv | AT lambertamaury randomultrametrictreesandapplications |