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Limit theorems for vertex-reinforced jump processes on regular trees


 
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1. Title Title of document Limit theorems for vertex-reinforced jump processes on regular trees
 
2. Creator Author's name, affiliation, country Andrea Collevecchio; Università Ca'Foscari-Venice
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Reinforced random walks; strong law of large numbers; central limit theorem
 
3. Subject Subject classification 60K35, 60F15, 60F05
 
4. Description Abstract Consider a vertex-reinforced jump process defined on a regular tree, where each vertex has exactly $b$ children, with $b \geq 3$. We prove the strong law of large numbers and the central limit theorem for the distance of the process from the root. Notice that it is still unknown if vertex-reinforced jump process is transient on the binary tree.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) DFG-Forschergruppe 718, ''Analysis and stochastics in complex physical systems'', and by the Italian PRIN 2007 grant 2007TKLTSR
 
7. Date (YYYY-MM-DD) 2009-09-16
 
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/693
 
10. Identifier Digital Object Identifier 10.1214/EJP.v14-693
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 14
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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