Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic sigma-convergence and applications   Motivated by the fact that in nature almost all phenomena behave randomly in
some scales and deterministically in some other scales, we build up a framework
suitable to tackle both deterministic and stochastic homogenization problems
simultaneously, and also separately. Our approach, the stochastic
sigma-convergence, can be seen either as a multiscale stochastic approach since
deterministic homogenization theory can be seen as a special case of stochastic
homogenization theory (see Theorem 3), or as a conjunction of the stochastic
and deterministic approaches, both taken globally, but also each separately.
One of the main applications of our results is the homogenization of a model of
rotating fluids.

37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol