Abstract
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.
Citation
Renaud Marty. Knut Sølna. "A general framework for waves in random media with long-range correlations." Ann. Appl. Probab. 21 (1) 115 - 139, February 2011. https://doi.org/10.1214/10-AAP689
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