**Computer Recreations:**

A cellular universe of debris,
droplets, defects and demons

by A. K. Dewdney

*Scientific American*, August 1989, 102-105.

Popular science account of the Cyclic CA, *a Paperport electronic document* (423K)

**Cyclic Random Competition: a case history in experimental mathematics**

*AMS Notices* (1988) 1472-1480.

Describes the computer-aided discovery of the Cyclic
Particle System (102K)

**Threshold-Range Scaling of Excitable Cellular Automata**

(with R. Fisch and J. Gravner)

*Statistics and Computing* **1** (1991) 23-39.

An excitable CA primer with lots of pictures, puzzles and references (507K)

**Remarks on Randomness in Complex Systems**

*Statistical Science* **7** #1 (1992) 104-108.

Connections between the theory of complex systems and probability (113K)

**Asymptotic Behavior of Excitable Cellular Automata**

(with R. Durrett)

*Journal of Experimental Mathematics* **2** (1993) 183-208.

Spiral formation and stability in CA Models for excitable media (447K)

**Metastability in the Greenberg-Hastings Model**

(with R. Fisch and J. Gravner)

**Special Invited Paper ***Annals of Applied Probability* **3** (1993) 935-967.

Analysis of nucleation and metastability in a planar excitable CA (445K)

**Frank Spitzer's Pioneering Work on Interacting Particle Systems**

*Annals of Probability* **2** (1993) 608-621.

Surveys Spitzer's fundamental contributions to the theory of particle systems (105K)

**Threshold Growth Dynamics**

(with J. Gravner)

*Trans. Amer. Math. Soc.* **340**, Number 2 (1993) 837-870.

Foundations of Threshold Growth theory in Euclidean space and on the lattice (186K)

**Cellular Automaton Growth on Z² : Theorems, Examples, and Problems**

(with J. Gravner)

*Advances in Applied Mathematics.* **21** (1998), 241-304.

Phenomenology of growth and asymptotic shape
for 2d, two-state CA rules (1.5 M)

**Reverse Shapes in First-Passage Percolation and Related Growth Models**

(with J. Gravner)

*Perplexing Problems in Probability*, Birkhäuser, 1999, 121-142.

Holes in supercritical dynamics attain a characteristic shape as they shrink (466 K)