24 citations · 86 across the 27 of their papers we have counts for
Showing patt-solShow all
3 papers · 1 filter
patt-sol1993
Threshold-Range Scaling of Excitable Cellular Automata
Robert Fisch, Janko Gravner, David Griffeath
Each cell of a two-dimensional lattice is painted one of k colors, arranged in a "color wheel." The colors advance (0 to k-1 mod k) either automatically or by contact with at least…
patt-sol1993
Metastability in the Greenberg-Hastings Model
Robert Fisch, Janko Gravner, David Griffeath
The Greenberg-Hastings Model (GHM) is a family of multitype cellular automata that emulate excitable media, exhibiting the nucleation and spiral formation characteristic of such co…
patt-sol1993
Threshold Growth Dynamics
Janko Gravner, David Griffeath
We study the asymptotic shape of the occupied region for monotone deterministic dynamics in d-dimensional Euclidean space parametrized by a threshold theta, and a Borel set N with…