A general framework for waves in random media with long-range correlations
Probability
2011-01-04 v1
Abstract
We consider waves propagating in a randomly layered medium with long-range correlations. An example of such a medium is studied in \citeMS 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.
Cite
@article{arxiv.1101.0060,
title = {A general framework for waves in random media with long-range correlations},
author = {Renaud Marty and Knut Sølna},
journal= {arXiv preprint arXiv:1101.0060},
year = {2011}
}
Comments
Published in at http://dx.doi.org/10.1214/10-AAP689 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)