Pattern formation

1

A. Beghdadi, C. Andraud, J. Lafait, J. Peiro, and M. Perreau.
Entropic and multifractal analysis of disordered morphologies.
Fractals, 1(3):671-679, 1993.

2

E. Ben-Jacob, O. Schochet, A. Tenenbaum, I. Cohen, A. Czirok, and T. Vicsek.
Generic modelling of cooperative growth patterns in bacterial colonies.
Nature, 368:46-49, March 1994.

3

P.E. Cladis and P. Palffy-Muhoray, editors.
Spatio-Temporal Patterns in Nonequilibrium Complex Systems, volume XXI of Santa Fe Institute Studies in the Sciences of Complexity. Addison-Wesley, 1995.

4

J.P. Crutchfield and J.E. Hanson.
Turbulent pattern bases for cellular automata.
Technical Report SFI 93-03-010, 1993.

5

J.M. Greenberg and S.P. Hastings.
Spatial patterns for discrete models of diffusion in excitable media.
SIAM J. Applied Math., 34(3):515-523, 1978.

6

K. Culik II and J. Kari.
Mechanisms for pattern generation.
Complex Systems, 7:347-365, 1993.

7

I.M. Janosi and A. Czirok.
Fractal clusters and self-organized criticality.
Fractals, 1(2):153-168, 1994.

8

K. Kassner.
Sidebranching in noiseless diffusion-limited aggregation.
Fractals, 1(2):205-228, 1993.

9

J.A.S. Kelso, A.J. Mandell, and M.F. Shlesinger, editors.
Dynamic Patterns in Complex Systems, 1988.

10

Z. Koza.
The equivalence of the dla and a hydrodynamic model.
J. Phys. A: Math. Gen., 24:4895-4905, 1991.

11

E.J. Kranenborg and H.A. Dijkstra.
The structure of (linearly) stable double diffusive flow patterns in a laterally heated stratified liquid.
Phys. Fluids, 3, 1995.

12

J. Machta.
The computational complexity of pattern formation.
J. of Stat. Phys., 70(3/4):949-965, 1993.

13

P. Meakin.
A new model for biological pattern formation.
J. Theor. Biol., 118:101-113, 1986.
xnr=7/2x fractal growth.

14

P. Meakin.
A new model for biological pattern formation.
J. Theor. Biol., (118):101-113, 1986.

15

J.D. Murray.
General models of pattern formation:some uses, problems and successes.
In H.G. Othmer et al., editor, Experimental and theoretical advances in biological pattern formation, pages 1-9, New York, 1993. Plenum Press.
xnr=3/34x.

16

M. Ohgiwari, M. Matsushita, and T. Matsuyama.
Morphological changes in growth phenomena of bacterial colony patterns.
J. Phys. Soc. Japan, 1991.

17

O. Pla, F. Guinea, and E. Louis.
Self organized criticality in simple growth models.
In J.M. Garcia-Ruiz, E. Louis, P. Meakin, and L.M. Sander, editors, Growth Patterns in Physical Sciences and Biology, pages 213-219, New York, 1993. Plenum Press.

18

C. Tang.
Diffusion-limited aggregation and the saffman-taylor problem.
Phys. Rev. A, 31(3):1977-1979, 1985.

19

L-H. Tang, J. Kertesz, and D.E. Wolf.
Kinetic roughening with power-law waiting time distribution.
J. Phys. A: Math. Gen., 24:L1193-L2100, 1991.

20

L. Tsimring, H. Levine, I. Aranson, E. Ben-Jacob, I. Cohen, O. Shochet, and W.N. Reynolds.
Aggregation patterns in stressed bacteria.
Phys. Rev. Let., 75(9):1859-1862, 1995.

21

R.F. Voss.
Multiparticle fractal aggregation.
Journal of Statistical Physics, 36(5/6):861-872, 1984.

22

R.F. Voss.
Birth, death, step size and the shape of dla.
Fractals, 1(2):141-147, 1993.

23

R.F. Voss, R.B. Laibowitz, and E.I. Allessandrini.
Fractal (scaling) clusters in thin gold films near the percolation threshold.
Phys. Rev. Let., 49(19):1441-1444, 1982.

24

T.A. Witten and L.M. Sander.
Diffusion-limited aggregation, a kinetic critical phenomenon.
Phys. Rev. Let., 47(19):1400-1403, 1981.

25

T.A. Witten and L.M. Sander.
Diffusion-limited aggregation.
Phys. Rev. B, 27(9):5686-5697, 1983.