EJP Reading Tools

Hierarchical Equilibria of Branching Populations

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Hierarchical Equilibria of Branching Populations
2.	Creator	Author's name, affiliation, country	Donald A. Dawson; Carleton University
2.	Creator	Author's name, affiliation, country	Luis G. Gorostiza; Centro de Investigacion y de Estudios Avanzados, Mexico D.F., Mexico
2.	Creator	Author's name, affiliation, country	Anton Wakolbinger; Goethe Universitat, Frankfurt am Main, Germany
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Multilevel branching, hierarchical mean-field limit, strong transience, genealogy
3.	Subject	Subject classification	Primary 60J80; Secondary 60J60, 60G60
4.	Description	Abstract	Abstract. The objective of this paper is the study of the equilibrium behavior of a population on the hierarchical group $\Omega_N$ consisting of families of individuals undergoing critical branching random walk and in addition these families also develop according to a critical branching process. Strong transience of the random walk guarantees existence of an equilibrium for this two-level branching system. In the limit $N\to\infty$ (called the hierarchical mean field limit), the equilibrium aggregated populations in a nested sequence of balls $B^{(N)}_\ell$ of hierarchical radius $\ell$ converge to a backward Markov chain on $\mathbb{R_+}$. This limiting Markov chain can be explicitly represented in terms of a cascade of subordinators which in turn makes possible a description of the genealogy of the population.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	1. NSERC and Max Planck Award for International Cooperation, 2. CONACYT (grant 37130-E)(Mexico), 3. DFG(SPP 1033) (Germany)
7.	Date	(YYYY-MM-DD)	2004-04-26
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/200
10.	Identifier	Digital Object Identifier	10.1214/EJP.v9-200
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 9
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
15.	Rights	Copyright and permissions	The Electronic Journal of Probability applies the Creative Commons Attribution License (CCAL) to all articles we publish in this journal. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles published in EJP, so long as the original authors and source are credited. This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available. Summary of the Creative Commons Attribution License You are free to copy, distribute, display, and perform the work to make derivative works to make commercial use of the work under the following condition of Attribution: others must attribute the work if displayed on the web or stored in any electronic archive by making a link back to the website of EJP via its Digital Object Identifier (DOI), or if published in other media by acknowledging prior publication in this Journal with a precise citation including the DOI. For any further reuse or distribution, the same terms apply. Any of these conditions can be waived by permission of the Corresponding Author.