Open Access
Translator Disclaimer
2012 Large deviations for the local times of a random walk among random conductances
Wolfgang König, Michele Salvi, Tilman Wolff
Author Affiliations +
Electron. Commun. Probab. 17: 1-11 (2012). DOI: 10.1214/ECP.v17-1820

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.

Citation

Download Citation

Wolfgang König. Michele Salvi. Tilman Wolff. "Large deviations for the local times of a random walk among random conductances." Electron. Commun. Probab. 17 1 - 11, 2012. https://doi.org/10.1214/ECP.v17-1820

Information

Accepted: 18 February 2012; Published: 2012
First available in Project Euclid: 7 June 2016

zbMATH: 1247.60064
MathSciNet: MR2892409
Digital Object Identifier: 10.1214/ECP.v17-1820

Subjects:
Primary: 60G50
Secondary: 05C81, 60F10, 60J55

JOURNAL ARTICLE
11 PAGES


SHARE
Back to Top