Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Marginals, measurable modifications of stochastic processes, and the
  product lifting problem   This paper deals with the problem of measurable lifting modification for
stochastic processes in its most general form and with the 'product lifting
problem'. Solutions to the positive are reduced to the existence of marginals
with respect to product probability spaces between the ordinary product and the
product whose probability measure is the restriction of the skew product of the
factor probabilities to the $\sigma$-algebra obtained by adjoing either the
right or left nil-null sets to the ordinary product algebra. We discuss the
problem of the existence of (strong) marginals.

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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph