  Kinematic dynamo theory is presented here for turbulent conductive fluids. We
describe how inhomogeneous magnetic fluctuations are generated below the
viscous scale of turbulence where the spatial smoothness of the velocity
permits a systematic analysis of the Lagrangian path dynamics. We find
analytically the moments and multi-point correlation functions of the magnetic
field at small yet finite magnetic diffusivity. We show that the field is
concentrated in long narrow strips and describe anomalous scalings and angular
singularities of the multi-point correlation functions which are manifestations
of field's intermittency. The growth rate of the magnetic field in a typical
realization is found to be half the difference of two Lyapunov exponents of the
same sign.
