Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noise as a Boolean algebra of sigma-fields. I. Completion   Nonclassical noises over the plane (such as the black noise of percolation)
consist of sigma-fields corresponding to some planar domains. One can treat
less regular domains as limits of more regular domains, thus extending the
noise and its set of sigma-fields. The greatest extension is investigated in a
new general framework.

4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom