Geodesics in two-dimensional first-passage percolation

Annals of Probability

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

  Licea, Cristina ^a   Newman, Charles M ^b  

^a Standard and Poor's   (United States)

^b NEW YORK UNIVERSITY   (United States)

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

References (8)

1. BURTON, R. and KEANE, M. (1989). Density and uniqueness in percolation. Comm. Math. Phys. 121 501-505.
2. 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.
3. 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.
4. KESTEN, H. (1986). Aspects of first-passage percolation. Lecture Notes in Math. 1180 125-264. Springer, Berlin.
5. KESTEN, H. (1987). Percolation theory and first-passage percolation. Ann. Probab. 15 1231-1271.
6. NEWMAN, C. M. (1995). A surface view of first-passage percolation. Proc. 1995 Internat. Cong. Math. (S. D. Chatterji, ed.) 1017-1023. Birkhäuser, Boston.
7. NEWMAN, C. M. and SCHULMAN, L. S. (1981). Infinite clusters in percolation models. J. Statist. Phys. 26 613-628.
8. WEHR, J. (1995). Private communication.