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Book Review

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Book Information:

Author: Harry Kesten
Title: Percolation theory for mathematicians
Additional book information: Progress in Probability and Statistics, vol. 2, Birkhauser, Boston, Mass., 1982, 423 pp., $30.00. ISBN 3-7643-3107-0.

References [Enhancements On Off] (What's this?)

  • 1. S. R. Broadbent and J. M. Hammersley (1957), Percolation processes, Proc. Cambridge Philos. Soc. 53, 629-641; 642-645. MR 91567
  • 2. J. M. Hammersley and D. J. A. Welsh (1965), First-passage percolation, subadditive processes, stochastic networks, and generalized renewal theory, Bernoulli-Bayes-Laplace Anniversary Volume (J. Neyman and L. M. LeCam, eds.), Springer-Verlag, Berlin, pp. 61-110. MR 198576
  • 3. T. E. Harris (1960), A lower bound for the critical probability in a certain percolation process, Proc. Cambridge Philos. Soc. 56, 13-20. MR 115221
  • 4. H. Kesten (1980), The critical probability of bond percolation on the square lattice equals 1/2, Comm. Math. Phys. 74, 41-59. MR 575895
  • 5. P. D. Seymour and D. J. A. Welsh (1978), Percolation probabilities on the square lattice, Ann. Discrete Math. 3, 227-245. MR 494572
  • 6. R. T. Smythe and J. C. Wierman (1978), First-passage percolation on the square lattice, Lecture Notes in Math., vol. 671, Springer-Verlag. MR 513421
  • 7. M. F. Sykes and J. W. Essam (1964), Exact critical percolation probabilities for site and bond problems in two dimensions, J. Math. Phys. 5, 1117-1127. MR 164680
  • 8. J. C. Wierman (1981), Bond percolation on honeycomb and triangular lattices, Adv. in Appl. Probab. 13, 298-313. MR 612205

Review Information:

Reviewer: John C. Wierman
Journal: Bull. Amer. Math. Soc. 11 (1984), 404-409
DOI: https://doi.org/10.1090/S0273-0979-1984-15331-X
American Mathematical Society