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Abstracts from the CECAM workshop on computer simulations of cellular automata

Orsay, September 26–October 7, 1988

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References

  1. R. Thomas,Lectures Notes Biometh. 49:189 (1983).

    Google Scholar 

  2. M. Kaufman, J. Hurbain, and R. Thomas,J. Theor. Biol. 114:527 (1985).

    Google Scholar 

  3. M. Kaufman and R. Thomas,J. Theor. Biol. 129:141 (1987).

    Google Scholar 

  4. R. Thomas and J. Richelle,Discrete Appl. Math. 19:381 (1988).

    Google Scholar 

References

  1. B. Derrida,J. Phys. A: Math. Gen. 20:L721–725 (1987).

    Google Scholar 

References

  1. T. J. Sejnowski, C. Koch, and P. S. Churchland,Science 241:1299 (1988).

    Google Scholar 

  2. D. H. Hubel and T. N. Weisel,J. Physic. Lond. 160:106 (1962).

    Google Scholar 

  3. S. R. Lehky and T. J. Sejnowski,Nature 333:452 (1988).

    Google Scholar 

References

  1. J. Toffoli and N. Margolus,Cellular Automata Machines (MIT Press, 1987).

  2. F. Bagnoli, A. Francescato, R, Livi, and S. Ruffo, in preparation.

References

  1. P. Tamayo and H. Hartman, C.A. reaction-diffusion systems and the origin of life, inArtificial Life Workshop (Santa Fe Institute Studies in the Sciences of Complexity), C. Langton, Ed. (Addison-Wesley, 1988).

  2. J. M. Greenberg and S. P. Hastings, Spatial patterns for discrete models of diffusion in excitable media,Siam J. Appl. Math. 34(3):515 (1978).

    Google Scholar 

  3. T. Toffoli and N. Margolus,Cellular Automata Machines (MIT Press, 1987).

References

  1. B. Chopard and M. Droz,J. Phys. 21:205 (1988).

    Google Scholar 

  2. M. Droz and B. Chopard,Helv. Phys. Acta 61:801 (1988).

    Google Scholar 

References

  1. N. I. Jaeger, K. Möller, and P. J. Plath,J. Chem. Soc. Faraday Trans. I 82:792 (1986).

    Google Scholar 

  2. P. J. Plath, K. Möller, and N. I. Jaeger,J. Chem. Soc. Faraday Trans I 84:1751–1770 (1988).

    Google Scholar 

  3. P. J. Plath and H. Prüfer,Z. Phys. Chem. Leipzig 268:235–249 (1987).

    Google Scholar 

  4. P. J. Plath,Optimal Structures in Heterogeneous Reaction Systems (Springer-Verlag, Berlin, 1989).

    Google Scholar 

References

  1. N. D. Mermin and H. Wagner,Phys. Rev. Lett. 17:1133 (1966).

    Google Scholar 

  2. J. Fröhlich and T. Spencer,Commun. Math. Phys. 81:527 (1981).

    Google Scholar 

  3. F. J. Dyson,Commun. Math. Phys. 12:91, 212 (1969);21:269 (1971).

    Google Scholar 

  4. J. Fröhlich, R. Israel, G. H. Lieb, and B. Simon,Commun. Math. Phys. 62:1 (1978).

    Google Scholar 

  5. J. Fröhlich and T. Spencer,Commun. Math. Phys. 84:87 (1982).

    Google Scholar 

  6. H. Kunz and C. E. Pfister,Commun. Math. 46:245 (1976).

    Google Scholar 

  7. S. Romano,Nuovo Cimento B 100:447 (1987).

    Google Scholar 

References

  1. S. Wolfram,Theory and applications of CA (World Scientific, 1986); N. Margolus and T. Toffoli,Cellular Automata Machines: A New Environment for Modeling (MIT Press, 1987); G. Doolen, ed.,Complex Systems 1(4) (August 1987).

  2. Y. Pomeau,J. Phys. A 17:L-415 (1984).

    Google Scholar 

  3. J. Hardy, O. de Pazzis, and Y. Pomeau,Phys. Rev. A 13:1949 (1976);J. Math. Phys. 14:17466 (1973); J. Hardy and Y. Pomeau,J. Math. Phys. 13:1042 (1972).

    Google Scholar 

  4. U. Frisch, B. Hasslacher, and Y. Pomeau,Phys. Rev. Lett. 56:1505 (1986);. D. d'Humières, Y. Pomeau, and P. Lallemand,C.R. Acad. Sci. Paris II 301:1391 (1985).

    Google Scholar 

  5. D. d'Humières, P. Lallemand, and U. Frisch,Europhys. Lett. 2:291 (1986).

    Google Scholar 

  6. P. Clavin, P. Lallemand, Y. Pomeau, and G. Searby,J. Fluid Mech. 188:437 (1988).

    Google Scholar 

References

  1. C. Burges and S. Zaleski,Complex Systems 1:31 (1987).

    Google Scholar 

  2. D. d'Humières, P. Lallemand, and J. Searby,Complex Systems 1:632 (1987).

    Google Scholar 

  3. J. M. Keller and D. R. Rothman,J. Stat. Phys. 52:1119 (1988).

    Google Scholar 

  4. D. Burgess, F. Hayot, and W. F. Saam,Phys. Rev. A, to appear; D. Burgess, F. Hayot, and W. F. Saam, Interface fluctuations in a lattice gas, preprint.

  5. D. Rothman,Proceedings of the Workshop on Discrete Kinetic Theory, Lattice Gas Dynamics, and Foundations of Hydrodynamics (World Scientific, to appear); D. Rothman, MIT Porous Flow Project, report No. 1.

  6. A. Rucklidge and S. Zaieski,J. Stat. Phys. 51:299 (1988).

    Google Scholar 

  7. N. Margolus, M. Smith, and T. Toffoli, Private communication.

  8. D. Rothman and S. Zaleski, in MIT Porous Flow Project, report No. 1.

  9. P. C. Rom, J. A. Somers, and A. J. Weisenborn, inProceedings of the Workshop on Discrete Kinetic Theory, Lattice Gas Dynamics, and Foundations of Hydrodynamics (World Scientific, to appear).

References

  1. S. Giliberto and P. Bigassi,Phys. Rev. Lett. 60:286 (1988).

    Google Scholar 

  2. H. Chaté and P. Manneville,Phys. Rev. Lett. 58:112 (1987).

    Google Scholar 

  3. F. Bagnoli, S. Ciliberto, A. Francescato, R. Livi, and S. Ruffo, inChaos and Complexity, R. Livi, S. Ruffo, S. Ciliberto, and M. Buiatti, eds. (World Scientific, 1988), p. 318.

References

  1. S. Wolfram,Theory and Applications of Cellular Automata (World Scientific, Singapore, 1986).

    Google Scholar 

  2. L. R. di Silva and H. J. Herrmann,J. Stat. Phys. 52:463 (1988).

    Google Scholar 

References

  1. D. Farmer, T. Toffoli, and S. Wolfram, eds., Cellular automata,Physica D 10:1 (1984).

  2. S. Wolfram,Rev. Mod. Phys. 55:601 (1983).

    Google Scholar 

  3. L. R. da Silva, A. Hansen, and S. Roux, preprint.

  4. A. Hansen and S. Roux, preprint.

References

  1. A. Coniglio, L. de Arcangelis, H. J. Herrmann, and N. Jan, preprint (1988).

References

  1. B. Derrida,Proceedings of the IX th IAMP Congress, University College Swansea, United Kingdom, July 1988.

    Google Scholar 

  2. B. Derrida and G. Weisbuch,J. Phys. 47:1297 (1986).

    Google Scholar 

  3. B. Derrida and H. Flyvbjerg,J. Phys. A 20:L1107 (1987).

    Google Scholar 

  4. B. Derrida and D. Stauffer,Europhys. Lett. 2:739 (1986).

    Google Scholar 

  5. B. Derrida and G. Weisbuch,Europhys. Lett. 4:657 (1986).

    Google Scholar 

References

  1. S. A. Kauffman,J. Theor. Biol. 22:437 (1969).

    Google Scholar 

  2. S. A. Kauffman,Physics D 10:145 (1984).

    Google Scholar 

  3. B. Derrida and H. Flyvbjerg,J. Phys. A: Math. Gen. 19:L1003 (1986).

    Google Scholar 

  4. H. Flyvbjerg,J. Phys. A: Math. Gen., to appear.

  5. B. Derrida and H. Flyvbjerg,J. Phys. A: Math. Gen. 20:L1107 (1987).

    Google Scholar 

  6. B. Derrida and H. Flyvbjerg,J. Phys. 48:971 (1987).

    Google Scholar 

  7. B. Derrida and H. Flyvbjerg,J. Phys. A: Math. Gen. 20:5273 (1987).

    Google Scholar 

  8. H. Flyvbjerg and N. J. Kjaer,J. Phys. A: Math. Gen. 21:1695 (1988).

    Google Scholar 

  9. H. Flyvbjerg,Acta Phys. Polon., to appear.

References

  1. A. Coniglio, D. Stauffer, and N. Jan,J. Phys. A: Math. Gen. 20:L1103 (1987).

    Google Scholar 

  2. N. Jan,J. Phys. A: Math. Gen. (1988).

References

  1. S. A. Solla, Learning contiguity with layered neural networks, inProceedings of n'Euro 88, Paris, June 1988.

  2. J. S. Denker, D. Schwartz, B. Wittner, S. A. Solla, R. Howard, L. Jackel, and J. Hopfield, Automatic learning, rule extraction, and generalization,Complex Systems 1:877 (1987).

    Google Scholar 

References

  1. R. Kree, D. Widmail, and A. Zippelius,J. Phys. A, to be published.

References

  1. S. A. Kauffmann,Physica 10D:145 (1984).

    Google Scholar 

  2. K. E. Kurten,Phys. Lett. A 129(3):157 (1988).

    Google Scholar 

  3. K. E. Kurten,J. Phys. A 21:L615 (1988).

    Google Scholar 

  4. B. Derrida and Y. Pomeau,Europhys. Lett. 1:44 (1986).

    Google Scholar 

  5. K. E. Kurten, inProceedings of Cybernetics and Systems (Vienna, 1988).

  6. K. E. Kurten, inProceedings of IEEE Second Annual International Neural Network Conference (San Diego, 1988).

References

  1. W. Krauth, M. Mézard, and J.-P. Nadal, Basins of attraction in a perceptron-like neural network,Complex Systems 2:387 (1988).

    Google Scholar 

  2. W. Krauth and M. Mézard, Learning algorithms with optimal stability in neural networks,J. Phys. A: Math. Gen. 20:L745 (1987).

    Google Scholar 

  3. W. Krauth, J.-P. Nadal, and M. Mézard, The roles of stability and symmetry on the dynamics of neural networks,J. Phys. A: Math. Gen. 21:2995 (1988).

    Google Scholar 

References

  1. P. Bak, C. Tang, and K. Wiesenteld,Phys. Rev. Lett. 59:381 (1987);Phys. Rev. A 38:36 (1988); C. Tang and P. Bak,Phys. Rev. Lett. 60:2347 (1988);J. Stat. Phys. 51:797 (1988).

    Google Scholar 

References

  1. W. Kinzel,Z. Phys. B 58:229 (1985).

    Google Scholar 

References

  1. B. Chopard, M. Droz, and M. Kolb,J. Phys. A (1988).

  2. T. Toffoli and N. Margolus,Cellular Automata Machine: A New Environment for Modelling (MIT Press, 1987).

  3. B. Sapoval, M. Rosso, and J.-F. Gouyet,J. Phys. Lett. 46:146 (1985).

    Google Scholar 

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Author information

Author notes

  1. Luciano R. da Silva

    Present address: Departamento de Fisica, Universidade Federal do Rio Grande do Norte, 59000, Natal, Brazil

  2. Alex Hansen

    Present address: IBM Bergen Scientific Center, N-5000, Bergen, Norway

Authors and Affiliations

  1. SPhT, CEN Saclay, 91191, Gif sur Yvette Cedex, France

    L. de Arcangelis & H. J. Herrmann

  2. PhMC, Ecole Polytechnique, 91128, Palaiseau Cedex, France

    M. Kolb

  3. Département de Biologie Moléculaire, Faculté des Sciences, Université de Bruxelles, 1640 Rhode St., Genèse, Belgium

    René Thomas

  4. Dipartimento di Scienze Fisiche, Università di Napoli, Mostra d'Oltremare, I-80125, Napoli, Italy

    C. Amitrano, L. Peliti & M. Saber

  5. Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, Paris Cedex 05, France

    G. Weisbuch

  6. AT & T Bell Laboratories, 07733, Holmdel, New Jersey

    Sara A. Solla

  7. Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, 250125, Firenze, Italy

    F. Bagnoli, A. Francescato, R. Livi & S. Ruffo

  8. Center for Polymer Studies and Physics Department, Boston University, 02215, Boston, Massachusetts

    Pablo Tamayo

  9. Department of Theoretical Physics, University of Geneva, CH-1211, Geneva 4, Switzerland

    Michel Droz

  10. Institute of Applied and Physical Chemistry, Universität Bremen, Bibliothekstr. 2, 7800, Bremen 33, Federal Republic of Germany

    Peter Jörg Plath

  11. Physics Department, University of Pavia, 27100, Pavia, Italy

    S. Romano

  12. Laboratoire de Physique Statistique, 75231, Paris Cedex 05, France

    Yves Pomeau

  13. Laboratoire de Physique Statistique, CNRS, Ecole Normale Supérieure, 75231, Paris Cedex, France

    Stéphane Zaleski

  14. Facoltà di Scienze MFN, Université della Basilicata, Italy

    S. Ruffo

  15. HLRZ, c/o KFA Jülich, 5170, Jülich 1, West Germany

    D. Stauffer

  16. Institut für Theoretische Physik, Universität zu Köln, D-5000, Koln 41, Federal Republic of Germany

    Luciano R. da Silva & Alex Hansen

  17. Laboratoire dHydrodynamique et Mécanique Physique, UA 857, Ecole Supérieure de Physique et Chimie Industrielles, F-75231, Paris Cedex 05, France

    Stéphane Roux

  18. Dipartimento di Scienze Fisiche, Universita di Napoli, 80125, Napoli, Italy

    Antonio Coniglio

  19. Laboratoire de l'Institut de Recherche Fondamentale du Commissariat à l'Energie Atomique, Service de Physique Théorique de Saclay, F-91191, Gif-sur-Yvette Cedex, France

    B. Derrida

  20. Niels Bohr Institute, 2100, Copenhagen, Denmark

    Henrik Flyvbjerg

  21. Physics Department, St. Francis Xavier University, B2G 1CO, Antignish, Nova Scotia, Canada

    Antonio Coniglio, Naeem Jan & Dietrich Stauffer

  22. Physics Department, University of Wuppertal, D-5600, Wuppertal 1, West Germany

    Peter Grassberger

  23. Institute of Theoretical Physics, University of Gottingen, 34, Gottingen, Federal Republic of Germany

    A. Zippelius

  24. Institut für Zoologie III, Sektion Biophysik, Johannes Gutenberg-Universität, 6500, Mainz, West Germany

    K. E. Kurten

  25. Institut für Theoretische Physik, 5000, Köln, West Germany

    K. E. Kurten

  26. Laboratoire de Physique Statistique de l'ENS, 75231, Paris Cedex 05, France

    Werner Krauth & Jean -Pierre Nadal

  27. Laboratoire de Physique Théorique de l'ENS, Paris Cedex 05, France

    Marc Mézard

  28. Brookhaven National Laboratory, 11973, Upton, New York

    Per Bak & Chao Tang

  29. Bergen Scientific Center IBM, 36 Allegaten, 5007, Bergen, Norway

    Itzhak Webman

  30. Centro Brasiliero de Pesquisas Fisicas/CNPq, 22290, Rio de Janeiro, Brazil

    M. L. Martins, H. F. V. Resende, C. Tsallis & A. C. N. Magalhaes

Authors
  1. L. de Arcangelis
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  2. H. J. Herrmann
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  3. M. Kolb
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  4. René Thomas
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  5. C. Amitrano
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  6. L. Peliti
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  7. M. Saber
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  8. G. Weisbuch
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  9. Sara A. Solla
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  10. F. Bagnoli
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  11. A. Francescato
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  12. R. Livi
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  13. S. Ruffo
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  14. Pablo Tamayo
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  15. Michel Droz
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  16. Peter Jörg Plath
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  17. S. Romano
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  18. Yves Pomeau
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  19. Stéphane Zaleski
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  20. D. Stauffer
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  21. Luciano R. da Silva
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  22. Alex Hansen
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  23. Stéphane Roux
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  29. Peter Grassberger
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  30. A. Zippelius
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  31. K. E. Kurten
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  32. Werner Krauth
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  33. Jean -Pierre Nadal
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  34. Marc Mézard
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  35. Per Bak
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  36. Chao Tang
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  37. Itzhak Webman
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  38. M. L. Martins
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  39. H. F. V. Resende
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  40. C. Tsallis
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  41. A. C. N. Magalhaes
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de Arcangelis, L., Herrmann, H.J., Kolb, M. et al. Abstracts from the CECAM workshop on computer simulations of cellular automata. J Stat Phys 55, 1333–1359 (1989). https://doi.org/10.1007/BF01041096

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  • DOI: https://doi.org/10.1007/BF01041096

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