  Some new developments obtained in the last few years concerning the
propagation of high energy cosmic rays are discussed. In particular, it is
shown how the inclusion of drift effects in the transport diffusion equations
leads naturally to an explanation for the knee, for the second knee and for the
observed behavior of the composition and anisotropies between the knee and the
ankle. It is shown that the trend towards a heavier composition above the knee
has significant impact on the predicted neutrino fluxes above $10^{14}$ eV. The
effects of magnetic lensing on the cosmic rays with energies above the ankle
are also discussed, analyzing the main features of the different regimes that
appear between the diffusive behavior that takes place at lower energies and
the regime of small deflections present at the highest ones.
