Journal of Applied Probability
- J. Appl. Probab.
- Volume 53, Number 4 (2016), 1156-1165.
On a coalescence process and its branching genealogy
We define and analyze a coalescent process as a recursive box-filling process whose genealogy is given by an ancestral time-reversed, time-inhomogeneous Bienyamé‒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.
J. Appl. Probab. Volume 53, Number 4 (2016), 1156-1165.
First available in Project Euclid: 7 December 2016
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)
Secondary: 60G20: Generalized stochastic processes
Grosjean, Nicolas; Huillet, Thierry. On a coalescence process and its branching genealogy. J. Appl. Probab. 53 (2016), no. 4, 1156--1165. http://projecteuclid.org/euclid.jap/1481132843.