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All issues Volume 18 (2014) ESAIM: PS, 18 (2014) 171-184 References
Free Access
Issue
ESAIM: PS
Volume 18, 2014
Page(s) 171 - 184
DOI https://doi.org/10.1051/ps/2013032
Published online 27 March 2014
  1. P. Billingsley, Probability and Measure. Wiley-Interscience (1995). [Google Scholar]
  2. D. Boivin, First passage percolation: the stationary case. Probab. Theory Related Fields 86 (1990) 491–499. [CrossRef] [MathSciNet] [Google Scholar]
  3. J.T. Cox, The time constant of first-passage percolation on the square lattice. Adv. Appl. Probab. 12 (1980) 864–879. [CrossRef] [Google Scholar]
  4. J.T. Cox, A. Gandolfi, P.S. Griffin and H. Kesten, Greedy lattice animals. I. Upper bounds. Ann. Appl. Probab. 3 (1993) 1151–1169. [CrossRef] [Google Scholar]
  5. J.T. Cox and H. Kesten, On the continuity of the time constant of first-passage percolation. J. Appl. Probab. 18 (1981) 809–819. [CrossRef] [MathSciNet] [Google Scholar]
  6. L. Fontes and C.M. van Newman, First passage percolation for random colorings of Zd. Ann. Appl. Probab. 3 (1993) 746–762. [CrossRef] [Google Scholar]
  7. A. Gandolfi and H. Kesten, Greedy lattice animals. II. Linear growth. Ann. Appl. Probab. 4 (1994) 76–107. [CrossRef] [Google Scholar]
  8. G. Grimmett, Percolation, in vol. 321 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], second edition. Springer-Verlag, Berlin (1999). [Google Scholar]
  9. J.M. Hammersley and D.J.A. Welsh, First-passage percolation, subadditive processes, stochastic networks, and generalized renewal theory, in Proc. Internat. Res. Semin., Statist. Lab., Univ. California, Berkeley, Calif. Springer-Verlag, New York (1965) 61–110. [Google Scholar]
  10. C.D. Howard, Models of first-passage percolation, in Probability on discrete structures, vol. 110 of Encyclopaedia Math. Sci. Springer, Berlin (2004) 125–173. [Google Scholar]
  11. H. Kesten, Analyticity properties and power law estimates of functions in percolation theory. J. Stat. Phys. 25 (1981) 717–756. [CrossRef] [Google Scholar]
  12. H. Kesten, Aspects of first passage percolation. In École d’été de probabilités de Saint-Flour, XIV—1984, vol. 1180 of Lect. Notes in Math. Springer, Berlin (1986) 125–264. [Google Scholar]
  13. H. Kesten, First-passage percolation. From classical to modern probability, in vol. 54 of Progr. Probab. Birkhäuser, Basel (2003) 93–143. [Google Scholar]
  14. J.F.C. Kingman, The ergodic theory of subadditive stochastic processes. J. Roy. Stat. Soc. Ser. B 30 (1968) 499–510. [Google Scholar]
  15. T.M. Liggett, An improved subadditive ergodic theorem. Ann. Probab. 13 (1985) 1279–1285. [CrossRef] [Google Scholar]
  16. J.B. Martin, Linear growth for greedy lattice animals. Stoch. Process. Appl. 98 (2002) 43–66. [CrossRef] [Google Scholar]

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