Self-organized critical dynamics of fronts: Intermittency and multiscaling

We present recent work on punctuated dynamics of fronts. This kind of dynamics drives the evolving front to a critical state with temporal multiscaling of the interface profile due to intermittent activity characterized by avalanches which connect regions of recent local activity. This activity pattern exhibits non-trivial power-law correlations in space and time. We present numerical results in both 1 + 1 and 2 + 1 dimensions and generalize a theory for the critical exponents to all dimensions.