Research - Tom Kennedy
CODE FOR SIMULATING CHORDAL SLE (fast_sle)
This is the package "fast_sle" which contains routines and
a sample driver program for generating samples of chordal SLE
(Schramm-Loewner evolution). The algorithm used is explained in
"A fast algorithm for simulating the chordal Schramm-Loewner evolution"
.
This code is released under the GNU GPL (General Public License).
The file that can be downloaded (fast_sle1.0.tar.gz) is a gzipped tar
file, so after downloading it you do
gunzip fast_sle1.0.tar.gz
tar xvf fast_sle1.0.tar
Then read the file README.
Download fast_sle1.0.tar.gz (released July 29, 2005)
This work was supported by the National Science Foundation
(DMS-0201566,DMS-0501168).
Disclaimer
A Java implementation of this code by Kevin Petrychyn at the
University of Regina.
CODE FOR SIMULATING SELF-AVOIDING WALKS
This is a collection of library routines and a sample driver program
for doing Monte Carlo simulations of the self-avoiding walk using
the pivot algorithm. It implements the version of the algorithm introduced
in
"A faster implementation of the pivot algorithm for self-avoiding walks."
J. Stat. Phys. 106, 407-429 (2002)
This code is released under the GNU GPL (General Public License).
The file that can be downloaded (SAW_pivot1.0.tar.gz) is a gzipped tar
file, so after downloading it you do
gunzip SAW_pivot1.0.tar.gz
tar xvf SAW_pivot1.0.tar
Then read the file README.
Download SAW_pivot1.0.tar.gz (released September 4, 2003)
PICTURES OF CHORDAL SLE
A collection of pictures of chordal SLE for different values of
kappa.
PICTURES OF SELF-AVOIDING WALKS
A collection of postscript files with pictures of self-avoiding random walks
in the plane and in the half plane.
PACKING THE PLANE WITH 2 SIZES OF DISCS
Pictures and non-rigorous results on the problem of what is the
densest packing of the plane using discs of radius 1 and r.