文章基本信息

标题：Large deviations for the local times of a random walk among random conductances
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作者：König, Wolfgang ; Salvi, Michele ; Wolff, Tilman 等
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2012
卷号：17
页码：1-11
DOI：10.1214/ECP.v17-1820
语种：English
出版社：Electronic Communications in Probability
摘要：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.
关键词：continuous-time random walk; random conductances; randomized Laplace operator; large deviations; Donsker-Varadhan rate function;60G50; 05C81; 60J55; 60F10