Janko Gravner's Homepage.
Useful links
MAT 16A (Fall 2007) class pages
RFG in Probability
MAT189: Advanced Problem Solving will be offered in the Winter Quarter of this year.
Paper Random growth models with polygonal shapes
(with David Griffeath):
in Postscript and
in PDF.
Paper Modeling snow crystal growth I: Rigorous
results for Packard's snowflakes
(with David Griffeath):
in Postscript and
in PDF.
Paper Modeling snow crystal growth II:
A mesoscopic lattice map with plausible dynamics
(with David Griffeath) is available at the
Snowfakes page.
Paper Modeling snow crystal growth III:
three-dimensional snowfakes
(with David Griffeath) is also available at the
Snowfakes page.
Pictures of the 0->1->2 model:
cont. time with lambda=2 and
discr. time with p2=1, p1=0.55.