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Large deviations for the local times of a random walk among random conductances


 
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1. Title Title of document Large deviations for the local times of a random walk among random conductances
 
2. Creator Author's name, affiliation, country Wolfgang König; WIAS and TU Berlin; Germany
 
2. Creator Author's name, affiliation, country Michele Salvi; TU Berlin; Germany
 
2. Creator Author's name, affiliation, country Tilman Wolff; WIAS Berlin; Germany
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) continuous-time random walk; random conductances; randomized Laplace operator; large deviations; Donsker-Varadhan rate function
 
3. Subject Subject classification 60G50; 05C81; 60J55; 60F10
 
4. Description Abstract We derive an annealed large deviation principle for the normalised local times of a continuous-time random walk among random conductances in a finite domain in $\mathbb{Z}^d$ in the spirit of Donsker-Varadhan [DV75-83]. We work in the interesting case that the conductances may assume arbitrarily small values. Thus, the underlying picture of the principle is a joint strategy of small values of the conductances and large holding times of the walk. The speed and the rate function of our principle are explicit in terms of the lower tails of the conductance distribution. As an application, we identify the logarithmic asymptotics of the lower tails of the principal eigenvalue of the randomized negative Laplace operator in the domain.
 
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7. Date (YYYY-MM-DD) 2012-02-18
 
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/1820
 
10. Identifier Digital Object Identifier 10.1214/ECP.v17-1820
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 17
 
12. Language English=en en
 
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