  Percolation is one of the simplest and nicest models in probability
theory/statistical mechanics which exhibits critical phenomena. Dynamical
percolation is a model where a simple time dynamics is added to the (ordinary)
percolation model. This dynamical model exhibits very interesting behavior. Our
goal in thissurvey is to give an overview of the work in dynamical percolation
that has been done (and some of which is in the process of being written up).
