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Volumn 130, Issue 3, 2008, Pages 579-597

Limiting shapes for deterministic centrally seeded growth models

Author keywords

Limiting shape; Rotor router model; Sandpile model

Indexed keywords


EID: 37549033540     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-007-9450-6     Document Type: Article
Times cited : (18)

References (20)
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    • Self-organized critical state of sandpile automaton models
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    • Dhar, D.1
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    • 0002538890 scopus 로고
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    • Diaconis, P., Fulton, W.: A growth model a game, an algebra, Lagrange inversion, and characteristic classes. Rend. Semin. Mat. Univ. Pol. Torino 49, 95-119 (1991)
    • (1991) Rend. Semin. Mat. Univ. Pol. Torino , vol.49 , pp. 95-119
    • Diaconis, P.1    Fulton, W.2
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    • 0032074706 scopus 로고    scopus 로고
    • Introduction to the sandpile model
    • Ivashkevich, E.V., Priezzhev, V.B.: Introduction to the sandpile model. Physica A 254, 97-116 (1998)
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    • Ivashkevich, E.V.1    Priezzhev, V.B.2
  • 8
    • 26044454667 scopus 로고    scopus 로고
    • Goldbug variations
    • 1
    • Kleber, M.: Goldbug variations. Math. Intell. 27(1), 55-63 (2005)
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  • 9
    • 0001475021 scopus 로고
    • Internal diffusion limited aggregation
    • 4
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    • Lawler, G.F.1    Bramson, M.2    Griffeath, D.3
  • 10
    • 0001793799 scopus 로고
    • Subdiffusive fluctuations for internal diffusion limited aggregation
    • 1
    • Lawler, G.F.: Subdiffusive fluctuations for internal diffusion limited aggregation. Ann. Probab. 23(1), 71-86 (1995)
    • (1995) Ann. Probab. , vol.23 , pp. 71-86
    • Lawler, G.F.1
  • 11
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    • 4244084140 scopus 로고
    • Geometry and dynamics of deterministic sand piles
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    • Liu, S.H., Kaplan, T., Gray, L.J.: Geometry and dynamics of deterministic sand piles. Phys. Rev. A 42(6), 3207-3212 (1990)
    • (1990) Phys. Rev. A , vol.42 , pp. 3207-3212
    • Liu, S.H.1    Kaplan, T.2    Gray, L.J.3
  • 16
    • 0008679518 scopus 로고
    • Two-state model of self-organized criticality
    • Manna, S.S.: Two-state model of self-organized criticality. J. Phys.: A Math. Gen. 24, L363-369 (1991)
    • (1991) J. Phys.: A Math. Gen. , vol.24 , pp. 363-369
    • Manna, S.S.1
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    • 4243321309 scopus 로고
    • Analytic calculation of the attractor periods of deterministic sandpiles
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    • Markošová, M., Markoš, P.: Analytic calculation of the attractor periods of deterministic sandpiles. Phys. Rev. A 46(6), 3531-3534 (1992)
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    • Markošová, M.1    Markoš, P.2
  • 20
    • 0009545798 scopus 로고
    • Self-organized criticality in a deterministic automaton
    • 8
    • Wiesenfeld, K., Theiler, J., McNamara, B.: Self-organized criticality in a deterministic automaton. Phys. Rev. A 65(8), 949-952 (1990)
    • (1990) Phys. Rev. A , vol.65 , pp. 949-952
    • Wiesenfeld, K.1    Theiler, J.2    McNamara, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.