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...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoir: Lambert Amaury
Formáid: Alt
Teanga:English
Foilsithe / Cruthaithe: EDP Sciences 2017-01-01
Sraith:ESAIM: Proceedings and Surveys
Ábhair:
Rochtain ar líne:https://doi.org/10.1051/proc/201760070
Cur síos
Achoimre: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.
ISSN:2267-3059