ECP Reading Tools

Supercritical branching diffusions in random environment

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Supercritical branching diffusions in random environment
2.	Creator	Author's name, affiliation, country	Martin Hutzenthaler; University of Munich; Germany
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Branching diffusions in random environment, BDRE, supercriticality, survival probability
3.	Subject	Subject classification	Primary 60J80; secondary 60K37, 60J60
4.	Description	Abstract	Supercritical branching processes in constant environment conditioned on eventual extinction are known to be subcritical branching processes. The case of random environment is more subtle. A supercritical branching diffusion in random environment (BDRE) conditioned on eventual extinction of the population is not a branching diffusion in a homogeneous environment. However the law of the population size of a supercritical BDRE (averaged over the environment) conditioned on eventual extinction is equal to the law of the population size of a subcritical BDRE (averaged over the environment). As a consequence, supercritical BDREs have a phase transition which is similar to a well-known phase transition of subcritical branching processes in random environment.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Institute for Mathematical Sciences of the National University of Singapore
7.	Date	(YYYY-MM-DD)	2011-12-06
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1685
10.	Identifier	Digital Object Identifier	10.1214/ECP.v16-1685
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 16
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.