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References
- Alexander, Kenneth S. Approximation of subadditive functions and convergence rates in limiting-shape results. Ann. Probab. 25 (1997), no. 1, 30--55. MR1428498
- Deijfen, M.; Häggström, O.; Bagley, J. A stochastic model for competing growth on $\bold R^ d$. Markov Process. Related Fields 10 (2004), no. 2, 217--248. MR2082573
- Deijfen, Maria; Häggström, Olle. The initial configuration is irrelevant for the possibility of mutual unbounded growth in the two-type Richardson model. Combin. Probab. Comput. 15 (2006), no. 3, 345--353. MR2216472
- Deijfen, Maria; Häggström, Olle. Nonmonotonic coexistence regions for the two-type Richardson model on graphs. Electron. J. Probab. 11 (2006), no. 13, 331--344 (electronic). MR2217820
- Garet, Olivier; Marchand, Régine. Coexistence in two-type first-passage percolation models. Ann. Appl. Probab. 15 (2005), no. 1A, 298--330. MR2115045
- Garet, O.; Marchand, R. Competition between growths governed by Bernoulli percolation. Markov Process. Related Fields 12 (2006), no. 4, 695--734. MR2284399
- Garet, Olivier; Marchand, Régine. Large deviations for the chemical distance in supercritical Bernoulli percolation. Ann. Probab. 35 (2007), no. 3, 833--866. MR2319709
- Gouéré, Jean-Baptiste. Shape of territories in some competing growth models. Ann. Appl. Probab. 17 (2007), no. 4, 1273--1305. MR2344307
- Grimmett, Geoffrey; Kesten, Harry. First-passage percolation, network flows and electrical resistances. Z. Wahrsch. Verw. Gebiete 66 (1984), no. 3, 335--366. MR0751574
- Häggström, Olle; Pemantle, Robin. First passage percolation and a model for competing spatial growth. J. Appl. Probab. 35 (1998), no. 3, 683--692. MR1659548
- Häggström, Olle; Pemantle, Robin. Absence of mutual unbounded growth for almost all parameter values in the two-type Richardson model. Stochastic Process. Appl. 90 (2000), no. 2, 207--222. MR1794536
- Hoffman, Christopher. Coexistence for Richardson type competing spatial growth models. Ann. Appl. Probab. 15 (2005), no. 1B, 739--747. MR2114988
- Hoffman, Christopher. Geodesics in first passage percolation. Ann. Appl. Probab. 18 (2008), no. 5, 1944--1969. MR2462555
- Kesten, Harry. On the speed of convergence in first-passage percolation. Ann. Appl. Probab. 3 (1993), no. 2, 296--338. MR1221154
- van den Berg, J.; Kesten, H. Inequalities for the time constant in first-passage percolation. Ann. Appl. Probab. 3 (1993), no. 1, 56--80. MR1202515

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