ABSTRACT


Growth processes have an extensive history both in the probability literature and the physics literature. A basic problem is to describe the growth of an interface when the underlying dynamics have both deterministic and stochastic components. The existence of a limiting shape of this interface has been known, in a variety of models, for some time. Given these results, a natural question is to describe the fluctuations about the limiting shape. It has been recently discovered that the limiting distribution functions that describe the fluctuations are precisely those arising in random matrix theory. After a brief introduction to random matrix theory, these developments will be summarized. Return to Applied Math Colloquium home page 