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The Liouville and the intersection properties are equivalent for planar graphs


 
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1. Title Title of document The Liouville and the intersection properties are equivalent for planar graphs
 
2. Creator Author's name, affiliation, country Itai Benjamini; Weizmann Institute Rehovot; Israel
 
2. Creator Author's name, affiliation, country Nicolas Curien; ÉNS Paris; France
 
2. Creator Author's name, affiliation, country Agelos Georgakopoulos; Weizmann Institute Rehovot; Israel
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random walks ; Planar graphs ; Liouville property ; intersection
 
3. Subject Subject classification 05C81
 
4. Description Abstract It is shown that if a planar graph admits no non-constant bounded harmonic function then the trajectories of two independent simple random walks  intersect almost surely.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2012-09-26
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1913
 
10. Identifier Digital Object Identifier 10.1214/ECP.v17-1913
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 17
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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