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Anomalous heat kernel behaviour for the dynamic random conductance model


 
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1. Title Title of document Anomalous heat kernel behaviour for the dynamic random conductance model
 
2. Creator Author's name, affiliation, country Stephen Buckley; University of Oxford; United Kingdom
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) heat kernel; random walk in random environment; random conductances
 
3. Subject Subject classification 60G50; 60J27; 05C81
 
4. Description Abstract

We introduce the time dynamic random conductance model and consider the heat kernel for the random walk on this environment. In the case where conductances are bounded above, an example environment is presented which exhibits heat kernel decay that is asymptotically slower than in the well studied time homogeneous case - being close to $O\left( n^{-1}\right) $ as opposed to $O\left( n^{-2}\right) $. The example environment given is a modification of an environment introduced in Berger, Biskup, Hoffman and Kozma (2008).
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) EPSRC
 
7. Date (YYYY-MM-DD) 2013-01-03
 
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/2525
 
10. Identifier Digital Object Identifier 10.1214/ECP.v18-2525
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 18
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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