The total external length of the evolving Kingman coalescent
نویسندگان
چکیده
منابع مشابه
The tree length of an evolving coalescent
A well-established model for the genealogy of a large population in equilibrium is Kingman’s coalescent. For the population together with its genealogy evolving in time, this gives rise to a time-stationary tree-valued process. We study the sum of the branch lengths, briefly denoted as tree length, and prove that the (suitably compensated) sequence of tree length processes converges, as the pop...
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2016
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-016-0703-7