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Monotone interaction of walk and graph: recurrence versus transience


 
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1. Title Title of document Monotone interaction of walk and graph: recurrence versus transience
 
2. Creator Author's name, affiliation, country Amir Dembo; Stanford University; United States
 
2. Creator Author's name, affiliation, country Ruojun Huang; Stanford University; United States
 
2. Creator Author's name, affiliation, country Vladas Sidoravicius; IMPA; Brazil
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Recurrence; interacting particle system; reinforced random walk; random walk on growing domains
 
3. Subject Subject classification Primary 60K35; Secondary 82C41, 60G50
 
4. Description Abstract We consider recurrence versus transience for models of random walks on growing in time, connected subsets $\mathbb{G}_t$ of some fixed locally finite, connected graph, in which monotone interaction enforces such growth as a result of visits by the walk (or probes it sent), to the neighborhood of the boundary of $\mathbb{G}_t$.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2014-11-06
 
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/3607
 
10. Identifier Digital Object Identifier 10.1214/ECP.v19-3607
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 19
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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