  Dynamic and static properties of the classical Fukuyama-Lee-Rice model and
the renormalization and phase diagrams of a related quantum model with
phase-slips are studied.
  In the first part, the phase correlation function is calculated in the weak
pinning limit by an one-loop renormalization group calculation and exactly in
the strong pinning case. Further, the creep dynamics of these
quasi-one-dimensional systems is studied by analytical and numerical
approaches.
  In the second part, the phase diagrams of the quantum model is studied by an
anisotropic, finite-temperature renormalization group calculation.
