期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2014
卷号：XI
页码：781-822
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：Using a method developed by Durrett and Resnick (1978) we establishgeneral criteria for the convergence of properly rescaled clock processes of randomdynamics in random environments on in nite graphs. This complements the resultsof Gayrard (2012), Bovier and Gayrard (2013), and Bovier et al. (2013): puttogether these results provide a uni ed framework for proving convergence of clockprocesses. As a rst application we prove that Bouchaud's asymmetric trap modelon Zd exhibits a normal aging behavior for all d 2. Namely, we show that certaintwo-time correlation functions, among which the classical probability to nd theprocess at the same site at two time points, converge, as the age of the processdiverges, to the distribution function of the arcsine law. As a byproduct we provethat the fractional kinetics process ages.
关键词：Random dynamics; random environments; clock process; Levy pro-;cesses; random conductance models; aging; fractional kinetics process .
