Indexing metadata

Random walk in random environment in a two-dimensional stratified medium with orientations


 
Dublin Core PKP Metadata Items Metadata for this Document
 
1. Title Title of document Random walk in random environment in a two-dimensional stratified medium with orientations
 
2. Creator Author's name, affiliation, country Alexis Devulder; Université de Versailles Saint-Quentin-en-Yvelines; France
 
2. Creator Author's name, affiliation, country Françoise Pène; Université de Bretagne Occidentale; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) random walk on randomly oriented lattices; random walk in random environment; random walk in random scenery; functional limit theorem; transience
 
3. Subject Subject classification 60F17; 60G52; 60K37
 
4. Description Abstract We consider a model of random walk in ${\mathbb Z}^2$ with (fixed or random) orientation of the horizontal lines (layers) and with non constant iid probability to stay on these lines. We prove the transience of the walk for any fixed orientations under general hypotheses. This contrasts with the model of Campanino and Petritis, in which probabilities to stay on these lines are all equal. We also establish a result of convergence in distribution for this walk with suitable normalizations under more precise assumptions. In particular, our model proves to be, in many cases, even more superdiffusive than the random walks introduced by Campanino and Petritis.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) french ANR project MEMEMO2 2010 BLAN 0125
 
7. Date (YYYY-MM-DD) 2013-01-29
 
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/2459
 
10. Identifier Digital Object Identifier 10.1214/EJP.v18-2459
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 18
 
12. Language English=en 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.