  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.
