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Poisson point process limits in size-biased Galton-Watson trees


 
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1. Title Title of document Poisson point process limits in size-biased Galton-Watson trees
 
2. Creator Author's name, affiliation, country Jochen Geiger; Universität Frankfurt
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) Galton-Watson process, random tree, point process, limit laws
 
3. Subject Subject classification 60J80, 60G55
 
4. Description Abstract Consider a critical binary continuous-time Galton-Watson tree size-biased according to the number of particles at time $t$. Decompose the population at $t$ according to the particles' degree of relationship with a distinguished particle picked purely at random from those alive at $t$. Keeping track of the times when the different families grow out of the distinguished line of descent and the related family sizes at $t$, we represent this relationship structure as a point process in a time-size plane. We study limits of these point processes in the single- and some multitype case.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2000-07-10
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/73
 
10. Identifier Digital Object Identifier 10.1214/EJP.v5-73
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 5
 
12. Language English=en en
 
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