Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Flows, coalescence and noise   We are interested in stationary "fluid" random evolutions with independent
increments. Under some mild assumptions, we show they are solutions of a
stochastic differential equation (SDE). There are situations where these
evolutions are not described by flows of diffeomorphisms, but by coalescing
flows or by flows of probability kernels. In an intermediate phase, for which
there exist a coalescing flow and a flow of kernels solution of the SDE, a
classification is given: All solutions of the SDE can be obtained by filtering
a coalescing motion with respect to a subnoise containing the Gaussian part of
its noise. Thus, the coalescing motion cannot be described by a white noise.

14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph