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Volumn 66, Issue 1, 2002, Pages

Design degrees of freedom and mechanisms for complexity

Author keywords

[No Author keywords available]

Indexed keywords

CELLULAR STRUCTURE; HIGHLY OPTIMIZED TOLERANCE (HOT); ROBUST DESIGN; SELF-ORGANIZED CRITICALITY (SOC);

EID: 41349084955     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.016108     Document Type: Article
Times cited : (16)

References (25)
  • 1
    • 85036339858 scopus 로고    scopus 로고
    • R. Pool, Beyond Engineering (Oxford University Press, Oxford, New York, 1997)
    • R. Pool, Beyond Engineering (Oxford University Press, Oxford, New York, 1997).
  • 2
    • 85036311160 scopus 로고    scopus 로고
    • J. T. Bonner, The Evolution of Complexity by Means of Natural Selection (Princeton University Press, Princeton, New Jersey, 1988)
    • J. T. Bonner, The Evolution of Complexity by Means of Natural Selection (Princeton University Press, Princeton, New Jersey, 1988).
  • 3
    • 85036401146 scopus 로고    scopus 로고
    • G. A. Cohen, D. Pines, and D. Meltzer, Complexity: Metaphors, Models, and Reality (Perseus, Cambridge, MA, 1999)
    • G. A. Cohen, D. Pines, and D. Meltzer, Complexity: Metaphors, Models, and Reality (Perseus, Cambridge, MA, 1999).
  • 5
    • 85036208779 scopus 로고    scopus 로고
    • See, e.g., P. Bak, How Nature Works: The Science of Self-Organized Criticality (Copernicus, New York, 1996)
    • See, e.g., P. Bak, How Nature Works: The Science of Self-Organized Criticality (Copernicus, New York, 1996).
  • 7
    • 85036334654 scopus 로고    scopus 로고
    • S. A. Kauffman, Investigations (Oxford University Press, Oxford, New York, 2000)
    • S. A. Kauffman, Investigations (Oxford University Press, Oxford, New York, 2000).
  • 8
    • 85036225735 scopus 로고    scopus 로고
    • See, e.g., C. Adami, Introduction to Artificial Life (Springer-Verlag, New York, 1998), and references therein
    • See, e.g., C. Adami, Introduction to Artificial Life (Springer-Verlag, New York, 1998), and references therein.
  • 16
    • 85036205615 scopus 로고    scopus 로고
    • D. Stauffer, Introduction to Percolation Theory (Taylor, London, 1985)
    • D. Stauffer, Introduction to Percolation Theory (Taylor, London, 1985).
  • 20
    • 85036148831 scopus 로고    scopus 로고
    • S. K. Ma, Modern Theory of Critical Phenomena (Benjamin, New York, 1976)
    • S. K. Ma, Modern Theory of Critical Phenomena (Benjamin, New York, 1976).
  • 22
    • 85036326718 scopus 로고    scopus 로고
    • math-ph/0103018
    • J. Cardy, e-print math-ph/0103018 v2.
    • Cardy, J.1
  • 25
    • 85036377819 scopus 로고    scopus 로고
    • Corner connections are excluded in optimal solutions as long as (Formula presented) is sufficiently smooth. This applies for the exponential (Formula presented) we consider here, and other continuous functions. However, (Formula presented)’s can be constructed for which corner connections are allowed. For example, when (Formula presented) in alternating cells in a checkerboard pattern, cells with (Formula presented) will have unit density. Because they are never hit, there is no risk of propagation through a corner connection. We thank the referee for suggesting this example
    • Corner connections are excluded in optimal solutions as long as (Formula presented) is sufficiently smooth. This applies for the exponential (Formula presented) we consider here, and other continuous functions. However, (Formula presented)’s can be constructed for which corner connections are allowed. For example, when (Formula presented) in alternating cells in a checkerboard pattern, cells with (Formula presented) will have unit density. Because they are never hit, there is no risk of propagation through a corner connection. We thank the referee for suggesting this example.


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