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Random walks on infinite self-similar graphs


 
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1. Title Title of document Random walks on infinite self-similar graphs
 
2. Creator Author's name, affiliation, country Jörg Neunhäuserer; TFH Berlin
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) random walk ; graph
 
3. Subject Subject classification Primary 37A35, 05C05 Secondary 37A50, 37A45,
 
4. Description Abstract We introduce a class of rooted infinite self-similar graphs containing the well known Fibonacci graph and graphs associated with Pisot numbers. We consider directed random walks on these graphs and study their entropy and their limit measures. We prove that every infinite self-similar graph has a random walk of full entropy and that the limit measures of this random walks are absolutely continuous.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2007-10-15
 
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/448
 
10. Identifier Digital Object Identifier 10.1214/EJP.v12-448
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 12
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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