Indexing metadata

Cube Root Fluctuations for the Corner Growth Model Associated to the Exclusion Process


 
Dublin Core PKP Metadata Items Metadata for this Document
 
1. Title Title of document Cube Root Fluctuations for the Corner Growth Model Associated to the Exclusion Process
 
2. Creator Author's name, affiliation, country Marton Balazs; BUTE, Inst. of Mathematics
 
2. Creator Author's name, affiliation, country Eric Cator; Delft Univ. of Technology, Faculty EWI
 
2. Creator Author's name, affiliation, country Timo Seppalainen; University of Wisconsin-Madison, Mathematics Dept.
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Last-passage; simple exclusion; cube root asymptotics; competition interface; Burke's theorem; rarefaction fan
 
3. Subject Subject classification 60K35; 82C43
 
4. Description Abstract We study the last-passage growth model on the planar integer lattice with exponential weights. With boundary conditions that represent the equilibrium exclusion process as seen from a particle right after its jump we prove that the variance of the last-passage time in a characteristic direction is of order $t^{2/3}$. With more general boundary conditions that include the rarefaction fan case we show that the last-passage time fluctuations are still of order $t^{1/3}$, and also that the transversal fluctuations of the maximal path have order $t^{2/3}$. We adapt and then build on a recent study of Hammersley's process by Cator and Groeneboom, and also utilize the competition interface introduced by Ferrari, Martin and Pimentel. The arguments are entirely probabilistic, and no use is made of the combinatorics of Young tableaux or methods of asymptotic analysis.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Hungarian Scientific Research Fund (OTKA); National Science Foundation (NSF)
 
7. Date (YYYY-MM-DD) 2006-11-29
 
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/366
 
10. Identifier Digital Object Identifier 10.1214/EJP.v11-366
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 11
 
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.