Schramm-Loewner evolution is a family of random planar curves obtained by using Brownian
motion as the driving function in a Loewner evolution.
In the chordal form in the upper half-plane from 0 to infinity,
its conformal maps solve 
with 
, where 
is standard one-dimensional Brownian
motion and 
is the parameter (Werner
2004).
The maps are defined until their points are swallowed by the growing hull. The associated trace is called 
. A conformal mapping
transports chordal SLE to a simply connected domain with two marked boundary points. This gives a mathematical model for scaling limits
of interfaces in planar probability models.
