Colloquium
3:00 p.m., Friday (November 14, 2003)
Math Annex 1100
Oded Schramm
Microsoft Research
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 oneparameter
family of curves called stochastic Loewner evolution
(or SLE). Several instances of this statement have been
proven, for example, percolation and looperased random
walks, while others are still conjectural, e.g., the Ising
and Potts models and the selfavoiding 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).
