A GENERAL FRAMEWORK FOR WAVES IN RANDOM MEDIA WITH LONG-RANGE CORRELATIONS

被引：13
|
作者：
Marty, Renaud
Solna, Knut [1 ]
机构：
[1] Univ Calif Irvine, Irvine, CA 92697 USA
来源：
ANNALS OF APPLIED PROBABILITY | 2011年 / 21卷 / 01期
关键词：
Waves in random media; long-range dependence; fractional and multifractional processes;
D O I：
10.1214/10-AAP689
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
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.
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页码：115 / 139
页数：25
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