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journal-article
Springer Science and Business Media LLC
Journal of Statistical Physics (297)
References
44
Referenced
328
-
S. Wolfram, Cellular automata as models for complexity,Nature 311:419 (1984).
(
10.1038/311419a0
) / Nature by S. Wolfram (1984) - T. Toffoli, Cellular automata mechanics, Ph.D. thesis and Technical Report 208, The Logic of Computers Group, University of Michigan (1977).
- G. Vichniac, Simulating physics with cellular automata,Physica 10D:96 (1984). / Physica by G. Vichniac (1984)
-
S. Wolfram, Statistical mechanics of cellular automata,Rev. Mod. Phys. 55:601 (1983).
(
10.1103/RevModPhys.55.601
) / Rev. Mod. Phys. by S. Wolfram (1983) -
O. Martin, A. Odlyzko, and S. Wolfram, Algebraic properties of cellular automata,Commun. Math. Phys. 93:219 (1984).
(
10.1007/BF01223745
) / Commun. Math. Phys. by O. Martin (1984) - N. Packard, Cellular automaton models for dendritic crystal growth, Institute for Advanced Study, preprint (1985).
- S. Wolfram, Universality and complexity in cellular automata,Physica 10D:1 (1984). / Physica by S. Wolfram (1984)
- E. R. Berlekamp, J. H. Conway, and R. K. Guy,Winning Ways for Your Mathematical Plays, Vol. 2 (Academic Press, New York, 1982), Chap. 25; M. Gardner,Wheels, Life and Other Mathematical Amusements (Freeman, San Francisco, 1983). / Winning Ways for Your Mathematical Plays, Vol. 2 by E. R. Berlekamp (1982)
- T. Toffoli, CAM: A high-performance cellular-automaton machine,Physica 10D:195 (1984). / Physica by T. Toffoli (1984)
-
J. Guckenheimer and P. Holmes,Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer, New York, 1983).
(
10.1007/978-1-4612-1140-2
) / Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields by J. Guckenheimer (1983) - J. E. Hopcroft and J. D. Ullman,Introduction to Automata Theory, Languages, and Computation (Addison-Wesley, Reading, Massachusetts, 1979). / Introduction to Automata Theory, Languages, and Computation by J. E. Hopcroft (1979)
-
S. Wolfram, Computation theory of cellular automata,Commun. Math. Phys. 96:15 (1984).
(
10.1007/BF01217347
) / Commun. Math. Phys. by S. Wolfram (1984) - L. Hurd, Formal language characterizations of cellular automaton limit sets, to be published.
-
S. Willson, On convergence of configurations,Discrete Math. 23:279 (1978).
(
10.1016/0012-365X(78)90009-2
) / Discrete Math. by S. Willson (1978) -
T. Yaku, The constructability of a configuration in a cellular automaton,J. Comput. Syst. Sci. 7:481 (1973); U. Golze, Differences between 1- and 2-dimensional cell spaces, inAutomata, Languages, Development, A. Lindenmayer and G. Rozenberg, eds. (North-Holland, Amsterdam, 1976).
(
10.1016/S0022-0000(73)80004-2
) / J. Comput. Syst. Sci. by T. Yaku (1973) -
J. Hardy, O. de Pazzis, and Y. Pomeau, Molecular dynamics of a classical lattice gas: transport properties and time correlation functions,Phys. Rev. A13:1949 (1976).
(
10.1103/PhysRevA.13.1949
) / Phys. Rev. by J. Hardy (1976) - S. Wolfram, Cellular automata,Los Alamos Science (Fall 1983);
- Some recent results and questions about cellular automata, Institute for Advanced Study preprint (September 1983).
-
S. Wolfram, Twenty problems in the theory of cellular automata,Phys. Scripta (to be published).
(
10.1088/0031-8949/1985/T9/029
) -
S. Wolfram, Computer software in science and mathematics,Sci. Am. 251(3):188 (1984).
(
10.1038/scientificamerican0984-188
) / Sci. Am. by S. Wolfram (1984) - S. Willson, Comparing limit sets for certain increasing cellular automata, Mathematics Department, Iowa State University preprint (June 1984).
- S. Willson, Growth rates and fractional dimensions in cellular automata,Physica 10D:69 (1984). / Physica by S. Willson (1984)
- N. Packard, Notes on a Go-playing program, unpublished (1984).
-
Y. Sawada, M. Matsushita, M. Yamazaki, and H. Kondo, Morphological phase transition measured by ?surface kinetic dimension? of growing random patterns,Phys. Scripta (to be published).
(
10.1088/0031-8949/1985/T9/021
) -
J. M. Greenberg, B. D. Hassard, and S. P. Hastings, Pattern formation and periodic structures in systems modelled by reaction-diffusion equations,Bull. Am. Math. Soc. 84:1296 (1975); B. Madore and W. Freedman, Computer simulations of the Belousov-Zhabotinsky reaction,Science 222:615 (1983).
(
10.1090/S0002-9904-1978-14560-1
) / Bull. Am. Math. Soc. by J. M. Greenberg (1975) -
K. Prestonet al., Basics of cellular logic with some applications in medical image processing,Proc. IEEE 67:826 (1979).
(
10.1109/PROC.1979.11331
) / Proc. IEEE by K. Preston (1979) -
J. W. Essam, Percolation theory,Rep. Prog. Phys. 43:833 (1980).
(
10.1088/0034-4885/43/7/001
) / Rep. Prog. Phys. by J. W. Essam (1980) - P. Grassberger, Chaos and diffusion in deterministic cellular automata,Physica 10D:52 (1984). / Physica by P. Grassberger (1984)
- G. Vichniac, Cellular automaton dynamics for interface motion and ordering, M.I.T. report, to appear.
-
R. Rosensweig, Fluid dynamics and science of magnetic liquids,Adv. Electronics Electron Phys. 48:103 (1979); Magnetic fluids,Sci. Am. 247(4):136 (1982).
(
10.1016/S0065-2539(08)60306-6
) / Adv. Electronics Electron Phys. by R. Rosensweig (1979) -
G. A. Hedlund, Endomorphisms and automorphisms of the shift dynamical system,Math. Syst. Theory 3:320 (1969); G. A. Hedlund, Transformations commuting with the shift, inTopological Dynamics, J. Auslander and W. H. Gottschalk, eds. (Benjamin, New York, 1968); S. Amoroso and Y. N. Patt, Decision procedures for surjectivity and injectivity of parallel maps for tessellation structures,J. Comp. Syst. Sci. 6:448 (1972); M. Nasu, Local maps inducing surjective global maps of one-dimensional tessellation automata,Math. Syst. Theory 11:327 (1978).
(
10.1007/BF01691062
) / Math. Syst. Theory by G. A. Hedlund (1969) -
H. Wang, Proving theorems by pattern recognition-II,Bell. Syst. Tech. J. 40:1 (1961).
(
10.1002/j.1538-7305.1961.tb03975.x
) / Bell. Syst. Tech. J. by H. Wang (1961) -
R. Berger, The undecidability of the domino problem,Mem. Am. Math. Soc., No.66 (1966).
(
10.1090/memo/0066
) -
R. Robinson, Undecidability and nonperiodicity for tilings of the plane,Inventiones Math. 12:177 (1971).
(
10.1007/BF01418780
) / Inventiones Math. by R. Robinson (1971) - D. Ruelle,Thermodynamic Formalism (Addison-Wesley, Reading, Massachusetts, 1978), p. 68. / Thermodynamic Formalism by D. Ruelle (1978)
-
R. Penrose, Pentaplexity: a class of nonperiodic tilings of the plane,Math. Intelligencer 2:32 (1979); M. Gardner, Extraordinary nonperiodic tiling that enriches the theory of tiles,Sci. Am. 236(1):110 (1977); N. de Bruijn, Algebraic theory of Penrose's nonperiodic tilings of the plane,Nederl. Akad. Wetensch. Indag. Math. 43:39 (1981).
(
10.1007/BF03024384
) / Math. Intelligencer by R. Penrose (1979) -
P. Kramer, Non-periodic central space filling with icosahedral symmetry using copies of seven elementary cells,Acta Crystallogr. A38:257 (1982).
(
10.1107/S0567739482000552
) / Acta Crystallogr. by P. Kramer (1982) - M. Garey and D. Johnson,Computers and Intractability: A Guide to the Theory of NP-completeness (Freeman, San Francisco, 1979), p. 257. / Computers and Intractability: A Guide to the Theory of NP-completeness by M. Garey (1979)
- J. Milnor, Entropy of cellular automaton-maps, Institute for Advanced Study preprint (May 1984).
- J. Milnor, Directional entropies in higher dimensions, rough notes (September 1984).
- N. Packard, Complexity of growing patterns in cellular automata, Institute for Advanced Study preprint (October 1983).
- J. Milnor, Notes on surjective cellular automaton-maps, Institute for Advanced Study preprint (June 1984).
-
N. D. Mermin, The topological theory of defects in ordered media,Rev. Mod. Phys. 51:591 (1979).
(
10.1103/RevModPhys.51.591
) / Rev. Mod. Phys. by N. D. Mermin (1979) - A. Winfree and E. Winfree, Organizing centers in a cellular excitable medium, Purdue University preprint (July 1984) andPhysica D (to be published).
Dates
Type | When |
---|---|
Created | 20 years, 7 months ago (Jan. 19, 2005, 4:44 a.m.) |
Deposited | 5 years, 4 months ago (April 5, 2020, 6:49 a.m.) |
Indexed | 2 weeks, 4 days ago (Aug. 12, 2025, 5:40 p.m.) |
Issued | 40 years, 5 months ago (March 1, 1985) |
Published | 40 years, 5 months ago (March 1, 1985) |
Published Print | 40 years, 5 months ago (March 1, 1985) |
@article{Packard_1985, title={Two-dimensional cellular automata}, volume={38}, ISSN={1572-9613}, url={http://dx.doi.org/10.1007/bf01010423}, DOI={10.1007/bf01010423}, number={5–6}, journal={Journal of Statistical Physics}, publisher={Springer Science and Business Media LLC}, author={Packard, Norman H. and Wolfram, Stephen}, year={1985}, month=mar, pages={901–946} }