Pictures

Here are some pictures I produced of various random two-dimensional objects. In each case there is a small preview, and the full-resolution image itself is linked in case you would like to download it (some of the files can be quite large!). There is a discussion about some of the simulations themselves on this page and if I get the motivation someday I might set up separate pages for each model.

“Terms of use:” You can use any one of the images on this page in any way you see fit; just let me know when you do so.

One last thing: If you need pictures with a higher definition (or pictures of something else that I did not put here but might have simulated already), just ask!

DLA.1000 A DLA cluster of size 2000

DLA.2000 A DLA cluster of size 4096

DLA.4000 A DLA cluster of size 8192

Ising-0.881-1000 An Ising configuration (beta=0.881374)

Ising-0.900-1000 An Ising configuration (beta=0.900000)

LERW A loop-erased walk of size 2000

Lines Broken line process

Perco-bond Bond-percolation cluster (p=0.500000)

Perco-site Site-percolation cluster (p=0.580000)

Perco.grad Gradient percolation cluster

Piv A pivoting point of angle pi/2

SAW A self-avoiding walk of length 10000

SLE-1-1000-2085690 Schramm’s SLE Process (kappa=1.000000)

SLE-1-500-20856904 Schramm’s SLE Process (kappa=1.000000)

SLE-2-1000-2085690 Schramm’s SLE Process (kappa=2.000000)

SLE-2-500-20856904 Schramm’s SLE Process (kappa=2.000000)

SLE-3-1000-2085690 Schramm’s SLE Process (kappa=3.000000)

SLE-3-500-20856904 Schramm’s SLE Process (kappa=3.000000)

SLE-3.5-1000-2085690 Schramm’s SLE Process (kappa=3.500000)

SLE-4-1000-2085690 Schramm’s SLE Process (kappa=4.000000)

SLE-4-500-20856904 Schramm’s SLE Process (kappa=4.000000)

SLE-4.5-1000-2085690 Schramm’s SLE Process (kappa=4.500000)

SLE-5-1000-2085690 Schramm’s SLE Process (kappa=5.000000)

SLE-5-500-20856904 Schramm’s SLE Process (kappa=5.000000)

SLE-6-1000-2085690 Schramm’s SLE Process (kappa=6.000000)

SLE-6-2000 Schramm’s SLE Process (kappa=6.000000)

SLE-6-500-20856904 Schramm’s SLE Process (kappa=6.000000)

SLE-7-1000-2085690 Schramm’s SLE Process (kappa=7.000000)

SLE-7-500-20856904 Schramm’s SLE Process (kappa=7.000000)

SLE-8-1000-2085690 Schramm’s SLE Process (kappa=8.000000)

SLE-8-500-20856904 Schramm’s SLE Process (kappa=8.000000)