Last modified: June 12, 2007
Here is an applet for simulating chordal SLE. This is a work in progress, but seems to perform reasonably well. It will continue to be updated as improvements are made. Currently, the simulator works best for values of kappa in the range 0 to 4.
The following default values seem to work well enough. Be patient! It takes a few seconds for the curve to appear.
Kappa: 2 nsteps: 2000 dsteps: 5 Conformal map: vertical slit Time discr.: Non-uniform Random walk: Normal
Computation: Exact Random seed: 12
You can also use your mouse to re-position the SLE curve once it is drawn, as well as to zoom in. (Try left-clicking to re-position and using the scroll-wheel to zoom.)
Click here for a new window describing each parameter.
This applet was written by Kevin Petrychyn of the University of Regina and is based on code for simulating chordal SLE written by Tom Kennedy of the University of Arizona. Prof. Kennedy created the package fast_sle which contains routines and a sample driver program for generating samples of chordal SLE (Schramm-Loewner evolution), and his code is released under the GNU GPL (General Public License). The algorithm used is explained in his paper A fast algorithm for simulating the chordal Schramm-Loewner evolution.