Indexing metadata

Erratum to ``Number Variance from a probabilistic perspective, infinite systems of independent Brownian motions and symmetric $\alpha$-stable processes"


 
Dublin Core PKP Metadata Items Metadata for this Document
 
1. Title Title of document Erratum to ``Number Variance from a probabilistic perspective, infinite systems of independent Brownian motions and symmetric $\alpha$-stable processes"
 
2. Creator Author's name, affiliation, country Ben M Hambly; University of Oxford
 
2. Creator Author's name, affiliation, country Lisa M Jones; University of Oxford
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Number variance, symmetric $\alpha$-stable processes, controlled variability, Gaussian fluctuations, functional limits, long memory, Gaussian processes, fractional Brownian motion
 
3. Subject Subject classification 60G52, 60G15
 
4. Description Abstract In our original paper, we provide an expression for the variance of the counting functions associated with the spatial particle configurations formed by infinite systems of independent symmetric alpha-stable processes. The formula (2.3) of the original paper, is in fact the correct expression for the expected conditional number variance. This is equal to the full variance when L is a positive integer multiple of the parameter a but, in general, the full variance has an additional bounded fluctuating term. The main results of the paper still hold for the full variance itself, although some of the proofs require modification in order to incorporate this change.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2009-05-26
 
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/658
 
10. Identifier Digital Object Identifier 10.1214/EJP.v14-658
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 14
 
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.