Indexing metadata

Asymptotic Entropy of Random Walks on Free Products


 
Dublin Core PKP Metadata Items Metadata for this Document
 
1. Title Title of document Asymptotic Entropy of Random Walks on Free Products
 
2. Creator Author's name, affiliation, country Lorenz A. Gilch; Graz University of Technology; Austria
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random Walks, Free Products, Asymptotic Entropy
 
3. Subject Subject classification 60J10; 28D20; 20E06
 
4. Description Abstract Suppose we are given the free product $V$ of a finite family of finite or countable sets. We consider a transient random walk on the free product arising naturally from a convex combination of random walks on the free factors. We prove the existence of the asymptotic entropy and present three different, equivalent formulas, which are derived by three different techniques. In particular, we will show that the entropy is the rate of escape with respect to the Greenian metric. Moreover, we link asymptotic entropy with the rate of escape and volume growth resulting in two inequalities.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Research supported by German Research Foundation (DFG) grant GI 746/1-1
 
7. Date (YYYY-MM-DD) 2011-01-02
 
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/841
 
10. Identifier Digital Object Identifier 10.1214/EJP.v16-841
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of 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.