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Volumn 249, Issue 1, 2004, Pages 197-213

Infinite volume limit for the stationary distribution of abelian sandpile models

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EID: 3542996281     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/S00220-004-1080-0     Document Type: Article
Times cited : (39)

References (26)
  • 1
    • 5844290410 scopus 로고
    • Self-organized criticality: An explanation of the 1/f noise
    • Bak, P., Tang, C., Wiesenfeld, K.: Self-organized criticality: An explanation of the 1/f noise. Phys. Rev. A 59, 381-384 (1987)
    • (1987) Phys. Rev. A , vol.59 , pp. 381-384
    • Bak, P.1    Tang, C.2    Wiesenfeld, K.3
  • 2
  • 4
    • 0000561230 scopus 로고
    • Exactly solved model of self-organized critical phenomena
    • Dhar, D., Ramaswamy, R.: Exactly solved model of self-organized critical phenomena. Phys. Rev. Lett. 63, 1659-1662 (1989)
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 1659-1662
    • Dhar, D.1    Ramaswamy, R.2
  • 5
    • 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, 1613-1616 (1990)
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 1613-1616
    • Dhar, D.1
  • 6
    • 9744251040 scopus 로고    scopus 로고
    • The Abelian sandpile and related models
    • Dhar, D.: The Abelian sandpile and related models. Phys. A 263, 4-25 (1999)
    • (1999) Phys. A , vol.263 , pp. 4-25
    • Dhar, D.1
  • 8
    • 34247129579 scopus 로고
    • Abelian sandpile models on the Bethe lattice
    • Dhar, D., Majumdar, S.N.: Abelian sandpile models on the Bethe lattice. J. Phys. A 23, 4333-4350 (1990)
    • (1990) J. Phys. A , vol.23 , pp. 4333-4350
    • Dhar, D.1    Majumdar, S.N.2
  • 9
    • 0032074706 scopus 로고    scopus 로고
    • Introduction to the sandpile model
    • Ivashkevich, E.V., Priezzhev, V.B.: Introduction to the sandpile model. Phys. A 254, 97-116 (1998)
    • (1998) Phys. A , vol.254 , pp. 97-116
    • Ivashkevich, E.V.1    Priezzhev, V.B.2
  • 11
    • 0006737331 scopus 로고    scopus 로고
    • Self-organized criticality. Emergent complex behavior in physical and biological systems
    • Cambridge: Cambridge University Press
    • Jensen, H.J.: Self-organized criticality. Emergent complex behavior in physical and biological systems. Cambridge Lecture Notes in Physics, 10, Cambridge: Cambridge University Press, 2000
    • (2000) Cambridge Lecture Notes in Physics , vol.10
    • Jensen, H.J.1
  • 13
    • 0003981320 scopus 로고
    • Probability theory I-II
    • Berlin-Heidelberg-New York: Springer-Verlag, 4th edition
    • Loève, M.: Probability theory I-II. Graduate Texts in Mathematics, 45-46, Berlin-Heidelberg-New York: Springer-Verlag, 4th edition 1977
    • (1977) Graduate Texts in Mathematics , vol.45-46
    • Loève, M.1
  • 14
    • 0036821635 scopus 로고    scopus 로고
    • The Abelian sandpile model on an infinite tree
    • Maes, C., Redig, F., Saada, E.: The Abelian sandpile model on an infinite tree. Ann. Probab. 30, 2081-2107 (2002)
    • (2002) Ann. Probab. , vol.30 , pp. 2081-2107
    • Maes, C.1    Redig, F.2    Saada, E.3
  • 15
    • 0842325114 scopus 로고    scopus 로고
    • The infinite volume limit of dissipative abelian sandpiles
    • Maes, C., Redig, F., Saada, E.: The infinite volume limit of dissipative abelian sandpiles. Commun. Math. Phys. 244, 395-417 (2004)
    • (2004) Commun. Math. Phys. , vol.244 , pp. 395-417
    • Maes, C.1    Redig, F.2    Saada, E.3
  • 17
    • 0035688856 scopus 로고    scopus 로고
    • Scaling fields in the two-dimensional Abelian sandpile model
    • Mahieu, S., Ruelle, P.: Scaling fields in the two-dimensional Abelian sandpile model. Phys. Rev. E 64, 066130 (2001)
    • (2001) Phys. Rev. E , vol.64 , pp. 066130
    • Mahieu, S.1    Ruelle, P.2
  • 18
    • 0008515457 scopus 로고
    • Height correlations in the Abelian sandpile model
    • Majumdar, S.N., Dhar, D.: Height correlations in the Abelian sandpile model. J. Phys. A 24, L357-L362 (1991)
    • (1991) J. Phys. A , vol.24
    • Majumdar, S.N.1    Dhar, D.2
  • 19
    • 0001184784 scopus 로고
    • Equivalence between the Abelian sandpile model and the q ?? 0 limit of the Potts model
    • Majumdar, S.N., Dhar, D.: Equivalence between the Abelian sandpile model and the q ?? 0 limit of the Potts model. Physica A 185, 129-145 (1992)
    • (1992) Physica A , vol.185 , pp. 129-145
    • Majumdar, S.N.1    Dhar, D.2
  • 21
    • 0000000702 scopus 로고
    • Choosing a spanning tree for the integer lattice uniformly
    • Pemantle, R.: Choosing a spanning tree for the integer lattice uniformly. Ann. Probab. 19, 1559-1574 (1991)
    • (1991) Ann. Probab. , vol.19 , pp. 1559-1574
    • Pemantle, R.1
  • 22
    • 21344498143 scopus 로고
    • Structure of two-dimensional sandpile. I. Height Probabilities
    • Priezzhev, V.B.: Structure of two-dimensional sandpile. I. Height Probabilities. J. Stat. Phys. 74, 955-979 (1994)
    • (1994) J. Stat. Phys. , vol.74 , pp. 955-979
    • Priezzhev, V.B.1
  • 23
    • 0034342993 scopus 로고    scopus 로고
    • The upper critical dimension of the Abelian sandpile model
    • Priezzhev, V.B.: The upper critical dimension of the Abelian sandpile model. J. Stat. Phys. 98, 667-684 (2000)
    • (2000) J. Stat. Phys. , vol.98 , pp. 667-684
    • Priezzhev, V.B.1
  • 24
    • 0000535934 scopus 로고    scopus 로고
    • Multifractal scaling in the Bak-Tang-Wiesenfeld sandpile and edge events
    • Tebaldi, C., De Menech, M., Stella, A.L.: Multifractal scaling in the Bak-Tang-Wiesenfeld sandpile and edge events. Phys. Rev. Letters 83, 3952-3955 (1999)
    • (1999) Phys. Rev. Letters , vol.83 , pp. 3952-3955
    • Tebaldi, C.1    De Menech, M.2    Stella, A.L.3
  • 25
    • 4243736448 scopus 로고
    • How self-organised criticality works: A unified mean-field picture
    • Vespignani, A., Zapperi S.: How Self-organised criticality works: A unified mean-field picture. Phys. Rev. A 57, 6345-6361 (1988)
    • (1988) Phys. Rev. A , vol.57 , pp. 6345-6361
    • Vespignani, A.1    Zapperi, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.