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Volumn 326, Issue 3-4, 2003, Pages 305-312

Sharp thresholds in Bootstrap percolation

Author keywords

Bootstrap percolation; Cellular automata; Percolation; Sharp threshold; Threshold

Indexed keywords

AUTOMATA THEORY; PERCOLATION (SOLID STATE); PROBABILITY; RANDOM PROCESSES; SET THEORY;

EID: 0042093702     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(03)00364-9     Document Type: Article
Times cited : (24)

References (12)
  • 1
    • 0004133659 scopus 로고
    • University of Illinois Press, Champaign, IL
    • A.W. Burks (Ed.), Essays on Cellular Automata, University of Illinois Press, Champaign, IL, 1970.
    • (1970) Essays on Cellular Automata
    • Burks, A.W.1
  • 2
    • 0001371294 scopus 로고
    • Random processes and transformations
    • Cambridge, MA, American Mathematical Society, Providence, RI
    • S. Ulam, Random processes and transformations, in: Proceedings of the International Congress of Mathematicians, Vol. 2, Cambridge, MA, 1950, American Mathematical Society, Providence, RI, 1952, pp. 264-275.
    • (1950) Proceedings of the International Congress of Mathematicians , vol.2 , pp. 264-275
    • Ulam, S.1
  • 7
    • 13744252028 scopus 로고    scopus 로고
    • Every monotone graph property has a sharp threshold
    • Friedgut E., Kalai G. Every monotone graph property has a sharp threshold. Proc. Am. Math. Soc. 124:1996;2993-3002.
    • (1996) Proc. Am. Math. Soc. , vol.124 , pp. 2993-3002
    • Friedgut, E.1    Kalai, G.2
  • 8
    • 36149031851 scopus 로고
    • Metastability effects in bootstrap percolation
    • Aizenman M., Lebowitz J.L. Metastability effects in bootstrap percolation. J. Phys. A. 21:1988;3801-3813.
    • (1988) J. Phys. A , vol.21 , pp. 3801-3813
    • Aizenman, M.1    Lebowitz, J.L.2
  • 9
    • 0038270639 scopus 로고    scopus 로고
    • Sharp metastability threshold for two-dimensional bootstrap percolation
    • Holroyd A.E. Sharp metastability threshold for two-dimensional bootstrap percolation. Probab. Theory Relat. Fields. 125:2003;195-224.
    • (2003) Probab. Theory Relat. Fields , vol.125 , pp. 195-224
    • Holroyd, A.E.1
  • 10
    • 0000328846 scopus 로고
    • On the behavior of some cellular automata related to bootstrap percolation
    • Schonmann R.H. On the behavior of some cellular automata related to bootstrap percolation. Ann. Probab. 20:1992;174-193.
    • (1992) Ann. Probab. , vol.20 , pp. 174-193
    • Schonmann, R.H.1
  • 11
    • 0009434150 scopus 로고
    • Finite size scaling behavior of a biased majority rule cellular automaton
    • Schonmann R.H. Finite size scaling behavior of a biased majority rule cellular automaton. Physica A. 167:1990;619-627.
    • (1990) Physica A , vol.167 , pp. 619-627
    • Schonmann, R.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.