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Standard Spectral Dimension for the Polynomial Lower Tail Random Conductances Model


 
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1. Title Title of document Standard Spectral Dimension for the Polynomial Lower Tail Random Conductances Model
 
2. Creator Author's name, affiliation, country Omar Boukhadra; Université de Provence & Université de Constantine; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Markov chains, Random walk, Random environments, Random conductances, Percolation.
 
3. Subject Subject classification 60G50; 60J10; 60K37.
 
4. Description Abstract We study models of continuous-time, symmetric random walks in random environment on the d-dimensional integer lattice, driven by a field of i.i.d random nearest-neighbor conductances bounded only from above with a power law tail near 0. We are interested in estimating the quenched asymptotic behavior of the on-diagonal heat-kernel. We show that the spectral dimension is standard when we lighten sufficiently the tails of the conductances. As an expected consequence, the same result holds for the discrete-time case.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2010-12-08
 
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/839
 
10. Identifier Digital Object Identifier 10.1214/EJP.v15-839
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 15
 
12. Language English=en
 
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