I will describe a model for the size reduction and smoothing of a polygonal object due to repeated
chipping at corners. Each chip is sufficiently small so that only a single corner and a fraction of its
two adjacent sides are cut from the object in a single chipping event. After many chipping events,
the resulting shape of the rock is generally anisotropic; also there are large fluctuations between
In the second part of the talk I will describe the evolution of an unbounded interface between
ordered phases in two-dimensional Ising ferromagnets endowed with zero-temperature Glauber dynamics.
I will also discuss subtleties in dynamic behaviors of zero-temperature Ising ferromagnets.