Indexing metadata

Particle systems with quasi-homogeneous initial states and their occupation time fluctuations


 
Dublin Core PKP Metadata Items Metadata for this Document
 
1. Title Title of document Particle systems with quasi-homogeneous initial states and their occupation time fluctuations
 
2. Creator Author's name, affiliation, country Tomasz Bojdecki; Institute of Mathematics, University of Warsaw
 
2. Creator Author's name, affiliation, country Luis G. Gorostiza; Centro de Investigacion y de Estudios Avanzados, Mexico
 
2. Creator Author's name, affiliation, country Anna Talarczyk; Institute of Mathematics, University of Warsaw
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) particle system; branching; occupation time fluctuation; limit theorem; stable process; distribution-valued process; sub-fractional Brownian motion
 
3. Subject Subject classification Primary 60F17; Secondary 60J80; 60G18; 60G52
 
4. Description Abstract We consider particle systems in $R$ with initial configurations belonging to a class of measures that obey a quasi-homogeneity property, which includes as special cases homogeneous Poisson measures and many deterministic measures (simple example: one atom at each point of $Z$). The particles move independently according to an alpha-stable Levy process, $\alpha > 1$, and we also consider the model where they undergo critical branching. Occupation time fluctuation limits of such systems have been studied in the Poisson case. For the branching system in ``low'' dimension the limit was characterized by a process called sub-fractional Brownian motion, and this process was attributed to the branching because it had appeared only in that case. In the present more general framework sub-fractional Brownian motion is more prevalent, namely, it also appears as a component of the limit for the system without branching in ``low'' dimension. A new method of proof, based on the central limit theorem, is used.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) MNiSzW Grant N N201 397537 (Poland); CONACyT Grant 98998 (Mexico)
 
7. Date (YYYY-MM-DD) 2010-06-08
 
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/1547
 
10. Identifier Digital Object Identifier 10.1214/ECP.v15-1547
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 15
 
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.