  The existence of new transport phenomena associated to the presence of
quantum anomalies has atracted very recently the attention of theorist. These
transport coefficient have very interesting properties, for example, they do
not renormalize. The most famous case of anomaly induced transport phenomena is
the Chiral Magnetic Effect, in which an electric current is produced by a
magnetic field if the system has a different number of right handed fermions
respect the left handed one. In this thesis we have studied those transport
coefficients from Kubo formulas at weak and strong coupling. To finish a
fluid/gravity approach is used to compute all the second order anomalous
coefficients in an anomalous conformal fluid.
