3:00 p.m., Friday (November 14, 2003)
Math Annex 1100
Scaling limits of random 2D processes
We will survey a recent theory describing precisely the
scaling limits of many random systems in two dimensions.
Random paths associated with each of these systems are
believed to converge to a path among a one-parameter
family of curves called stochastic Loewner evolution
(or SLE). Several instances of this statement have been
proven, for example, percolation and loop-erased random
walks, while others are still conjectural, e.g., the Ising
and Potts models and the self-avoiding walk. The theory is
useful, mainly because the SLE description facilitates
explicit calculations of properties of the scaling limits.
Refreshments will be served at 2:45 p.m. in the Faculty Lounge,
Math Annex (Room 1115).