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Bootstrap automata: The dynamics of destruction

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  • Duarte, J.A.M.S.

Abstract

Simulations for bootstrap cellular automata on an oriented square lattice are shown to be consistent with exact results on the critical threshold (p∞c = 1) and a finite size scaling bound. Regimes above, below and close to pc (for finite samples) are detailed and characterized by a wide choice of updating and coding algorithms.

Suggested Citation

  • Duarte, J.A.M.S., 1990. "Bootstrap automata: The dynamics of destruction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(3), pages 908-918.
    • Handle: RePEc:eee:phsmap:v:168:y:1990:i:3:p:908-918
    DOI: 10.1016/0378-4371(90)90262-Q
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    References listed on IDEAS

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    1. Aharony, Joseph & Saunders, Anthony & Swary, Itzhak, 1988. "The effects of DIDMCA on bank stockholders' returns and risk," Journal of Banking & Finance, Elsevier, vol. 12(3), pages 317-331, September.
    2. Manna, S.S. & Stauffer, D. & Heermann, D.W., 1989. "Simulation of three-dimensional bootstrap percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 162(1), pages 20-26.
    3. Adler, Joan & Gross, Ronen & Warmund, Ron, 1990. "Comparison of two algorithms for bootstrap percolation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 163(2), pages 440-446.
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