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Volumn 24, Issue 1, 1996, Pages 399-410

Geodesics in two-dimensional first-passage percolation

Author keywords

Disordered Ising model; First passage percolation; Geodesic; Random metric

Indexed keywords


EID: 0030514141     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1042644722     Document Type: Article
Times cited : (109)

References (8)
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    • BURTON, R. and KEANE, M. (1989). Density and uniqueness in percolation. Comm. Math. Phys. 121 501-505.
    • (1989) Comm. Math. Phys. , vol.121 , pp. 501-505
    • Burton, R.1    Keane, M.2
  • 2
    • 0000910155 scopus 로고
    • The behaviour of interfaces in ordered and disordered systems
    • C. Domb and J. Lebowitz, eds. Academic, London
    • FORGACS, G., LIPOWSKY, R. and NIEUWENHUIZEN, T. M. (1991). The behaviour of interfaces in ordered and disordered systems. In Phase Transitions and Critical Phenomena (C. Domb and J. Lebowitz, eds.) 14 135-363. Academic, London.
    • (1991) Phase Transitions and Critical Phenomena , vol.14 , pp. 135-363
    • Forgacs, G.1    Lipowsky, R.2    Nieuwenhuizen, T.M.3
  • 3
    • 0002049581 scopus 로고
    • First-passage percolation, subadditive processes, stochastic networks and generalized renewal theory
    • J. Neyman and L. Le Cam, eds. Springer, Berlin
    • HAMMERSLEY, J. M. and WELSH, D. J. A. (1965). First-passage percolation, subadditive processes, stochastic networks and generalized renewal theory. In Bernoulli, Bayes, Laplace Anniversary Volume (J. Neyman and L. Le Cam, eds.) 61-110. Springer, Berlin.
    • (1965) Bernoulli, Bayes, Laplace Anniversary Volume , pp. 61-110
    • Hammersley, J.M.1    Welsh, D.J.A.2
  • 4
    • 0000264803 scopus 로고
    • Aspects of first-passage percolation
    • Springer, Berlin
    • KESTEN, H. (1986). Aspects of first-passage percolation. Lecture Notes in Math. 1180 125-264. Springer, Berlin.
    • (1986) Lecture Notes in Math. , vol.1180 , pp. 125-264
    • Kesten, H.1
  • 5
    • 0001464244 scopus 로고
    • Percolation theory and first-passage percolation
    • KESTEN, H. (1987). Percolation theory and first-passage percolation. Ann. Probab. 15 1231-1271.
    • (1987) Ann. Probab. , vol.15 , pp. 1231-1271
    • Kesten, H.1
  • 6
    • 0003379835 scopus 로고
    • A surface view of first-passage percolation
    • S. D. Chatterji, ed. Birkhäuser, Boston
    • NEWMAN, C. M. (1995). A surface view of first-passage percolation. Proc. 1995 Internat. Cong. Math. (S. D. Chatterji, ed.) 1017-1023. Birkhäuser, Boston.
    • (1995) Proc. 1995 Internat. Cong. Math. , pp. 1017-1023
    • Newman, C.M.1
  • 7
    • 0001227786 scopus 로고
    • Infinite clusters in percolation models
    • NEWMAN, C. M. and SCHULMAN, L. S. (1981). Infinite clusters in percolation models. J. Statist. Phys. 26 613-628.
    • (1981) J. Statist. Phys. , vol.26 , pp. 613-628
    • Newman, C.M.1    Schulman, L.S.2
  • 8
    • 0039122435 scopus 로고
    • Private communication
    • WEHR, J. (1995). Private communication.
    • (1995)
    • Wehr, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.