Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transport in a stochastic Goupillaud medium   This paper is part of a project that aims at modelling wave propagation in
random media by means of Fourier integral operators. A partial aspect is
addressed here, namely explicit models of stochastic, highly irregular
transport speeds in one-dimensional transport, which will form the basis for
more complex models. Starting from the concept of a Goupillaud medium (a
layered medium in which the layer thickness is proportional to the propagation
speed), a class of stochastic assumptions and limiting procedures leads to
characteristic curves that are L\'evy processes. Solutions corresponding to
discretely layered media are shown to converge to limits as the time step goes
to zero (almost surely pointwise almost everywhere). This translates into
limits in the Fourier integral operator representations.

17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org