descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2003 English Publisher:Cambridge University Press (CUP)Journal:Journal of Applied Probability, volume 40, pages 980-994 (issn: 0021-9002, eissn: 1475-6072,

Authors: Martin Möhle; Johannes Müller;

doi: 10.1239/jap/1067436095 , 10.1017/s0021900200020246

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

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Abstract

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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Keywords

birth-and-death processes, stochastic graph, Branching processes (Galton-Watson, birth-and-death, etc.), Random graphs (graph-theoretic aspects), family tree

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