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Family trees of continuous-time birth-and-death processes
Part of
- Graph theory
- Markov processes
Johannes Müller, Martin Möhle
Journal:

Journal of Applied Probability / Volume 40 / Issue 4 / September 2003

Published online by Cambridge University Press:

14 July 2016, pp. 980-994

Print publication:

September 2003
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We consider a stochastic graph generated by a continuous-time birth-and-death process with exponentially distributed waiting times. The vertices are the living particles, directed edges go from mothers to daughters. The size and the structure of the connected components are investigated. Furthermore, the number of connected components is determined.

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Family trees of continuous-time birth-and-death processes