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Volumn 138, Issue 1, 2010, Pages 143-159

Growth rates and explosions in sandpiles

Author keywords

Abelian sandpile; Bootstrap percolation; Dimensional reduction; Discrete Laplacian; Growth model; Least action principle

Indexed keywords


EID: 77249130193     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-009-9899-6     Document Type: Article
Times cited : (82)

References (11)
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    • Bak, P.1    Tang, C.2    Wiesenfeld, K.3
  • 2
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    • Chip-firing games on graphs
    • Björner, A., Lovász, L., Shor, P.: Chip-firing games on graphs. Eur. J. Comb. 12(4), 283-291 (1991).
    • (1991) Eur. J. Comb. , vol.12 , Issue.4 , pp. 283-291
    • Björner, A.1    Lovász, L.2    Shor, P.3
  • 3
    • 24844442721 scopus 로고
    • Self-organized critical state of sandpile automaton models
    • Dhar, D.: Self-organized critical state of sandpile automaton models. Phys. Rev. Lett. 64, 1613 (1990).
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 1613
    • Dhar, D.1
  • 4
    • 0002538890 scopus 로고
    • A growth model, a game, an algebra, Lagrange inversion, and characteristic classes
    • Diaconis, P., Fulton, W.: A growth model, a game, an algebra, Lagrange inversion, and characteristic classes. Rend. Semin. Mat. Univ. Pol. Torino 49(1), 95-119 (1991).
    • (1991) Rend. Semin. Mat. Univ. Pol. Torino , vol.49 , Issue.1 , pp. 95-119
    • Diaconis, P.1    Fulton, W.2
  • 5
    • 0001462236 scopus 로고
    • Proof of Straley's argument for bootstrap percolation
    • van Enter, A. C. D.: Proof of Straley's argument for bootstrap percolation. J. Stat. Phys. 48, 943-945 (1987).
    • (1987) J. Stat. Phys. , vol.48 , pp. 943-945
    • van Enter, A.C.D.1
  • 6
    • 37549033540 scopus 로고    scopus 로고
    • Limiting shapes for deterministic centrally seeded growth models
    • Fey, A., Redig, F.: Limiting shapes for deterministic centrally seeded growth models. J. Stat. Phys. 130(3), 579-597 (2008).
    • (2008) J. Stat. Phys. , vol.130 , Issue.3 , pp. 579-597
    • Fey, A.1    Redig, F.2
  • 7
    • 66149170514 scopus 로고    scopus 로고
    • Organized versus self-organized criticality in the abelian sandpile model
    • Fey-den Boer, A., Redig, F.: Organized versus self-organized criticality in the abelian sandpile model. Markov Processes Relat. Fields 11(3), 425-442 (2005).
    • (2005) Markov Processes Relat. Fields , vol.11 , Issue.3 , pp. 425-442
    • Fey-den Boer, A.1    Redig, F.2
  • 8
    • 66149172259 scopus 로고    scopus 로고
    • Stabilizability and percolation in the infinite volume sandpile model
    • Fey-den Boer, A., Meester, R., Redig, F.: Stabilizability and percolation in the infinite volume sandpile model. Ann. Probab. 37(2), 654-675 (2009).
    • (2009) Ann. Probab. , vol.37 , Issue.2 , pp. 654-675
    • Fey-den Boer, A.1    Meester, R.2    Redig, F.3
  • 10
    • 57649221505 scopus 로고    scopus 로고
    • Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile
    • Levine, L., Peres, Y.: Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile. Potential Anal. 30, 1-27 (2009).
    • (2009) Potential Anal. , vol.30 , pp. 1-27
    • Levine, L.1    Peres, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.