On a coalescence process and its branching genealogy
Probability
2017-09-25 v1 Populations and Evolution
Abstract
We define and analyze a coalescent process as a recursive box-filling process whose genealogy is given by an ancestral time-reversed, time-inhomogeneous Bienyam\'{e}-Galton-Watson process. Special interest is on the expected size of a typical box and its probability of being empty. Special cases leading to exact asymptotic computations are investigated when the coalescing mechanisms are either linear-fractional or quadratic.
Keywords
Cite
@article{arxiv.1709.07633,
title = {On a coalescence process and its branching genealogy},
author = {Nicolas Grosjean and Thierry Huillet},
journal= {arXiv preprint arXiv:1709.07633},
year = {2017}
}
Comments
10 pages, one figure