  In this paper we review results of Anderson localization for different random
families of operators which enter in the framework of random
quasi-one-dimensional models. We first recall what is Anderson localization
from both physical and mathematical point of views. From the Anderson-Bernoulli
conjecture in dimension 2 we justify the introduction of quasi-one-dimensional
models. Then we present different types of these models : the Schr{\"o}dinger
type in the discrete and continuous cases, the unitary type, the Dirac type and
the point-interactions type. In a second part we present tools coming from the
study of dynamical systems in dimension one : the transfer matrices formalism,
the Lyapunov exponents and the F{\"u}rstenberg group. We then prove a criterion
of localization for quasi-one-dimensional models of Schr{\"o}dinger type
involving only geometric and algebraic properties of the F{\"u}rstenberg group.
Then, in the last two sections, we review results of localization, first for
Schr{\"o}dinger type models and then for unitary type models. Each time, we
reduce the question of localization to the study of the F{\"u}rstenberg group
and show how to use more and more refined algebraic criterions to prove the
needed properties of this group. All the presented results for
quasi-one-dimensional models of Schr{\"o}dinger type include the case of
Bernoulli randomness.
