A GENERAL FRAMEWORK FOR WAVES IN RANDOM MEDIA WITH LONG-RANGE CORRELATIONS
成果类型：
Article
署名作者：
Marty, Renaud; Solna, Knut
署名单位：
University of California System; University of California Irvine; Universite de Lorraine
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/10-AAP689
发表日期：
2011
页码：
115-139
关键词：
摘要：
We consider waves propagating in a randomly layered medium with long-range correlations. An example of such a medium is studied in [19] and leads, in particular, to an asymptotic travel time described in terms of a fractional Brownian motion. Here we study the asymptotic transmitted pulse under very general assumptions on the long-range correlations. In the framework that we introduce in this paper, we prove in particular that the asymptotic time-shift can be described in terms of non-Gaussian and/or multifractal processes.