Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong laws of large numbers for arrays of random variables and stable
  random fields   Strong laws of large numbers are established for random fields with weak or
strong dependence. These limit theorems are applicable to random fields with
heavy-tailed distributions including fractional stable random fields.
  The conditions for SLLN are described in terms of the $p$-th moments of the
partial sums of the random fields, which are convenient to verify. The main
technical tool in this paper is a maximal inequality for the moments of partial
sums of random fields that extends the technique of Levental, Chobanyan and
Salehi \cite{chobanyan-l-s} for a sequence of random variables indexed by a
one-parameter.

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The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat