Recent Progress in Growth Processes

Craig Tracy

University of California, Davis

April 2,



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