Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0664.92012
Pakes, Anthony G.
An infinite alleles version of the Markov branching process. (English)
[J] J. Aust. Math. Soc., Ser. A 46, No.1, 146-169 (1989). ISSN 0263-6115

Individuals in a population which grows in accord with a continuous-time Markov branching process are allowed to mutate into new allelic forms. Results on the time of last mutation and on the frequency spectrum are obtained. These results sharpen corresponding known discrete time results and answer some questions still unresolved in the discrete time case. Supercritical, subcritical, and critical cases are shown to exhibit different asymptotic properties.
[H.J.Weiner]

MSC 2000:: *92D10 Genetics
60J80 Branching processes
60J85 Appl. of branching processes

Keywords: infinite alleles model; continuous-time Markov branching process; time of last mutation; frequency spectrum; Supercritical; subcritical; asymptotic properties

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]