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References

  1. O.S.M. Alves, F.P. Machado, S.Yu. Popov. The shape theorem for the frog model. Ann. Appl. Probab. 12 (2002), 533-546. Math. Review 2003c:60159
  2. O.S.M. Alves, F.P. Machado, S.Yu. Popov. Phase transition for the frog model. Electron. J. Probab. 7 (2002), paper No. 16. Math. Review 2004a:60156
  3. O.S.M. Alves, F.P. Machado, S.Yu. Popov, K. Ravishankar. The shape theorem for the frog model with random initial configuration. Markov Process. Relat. Fields 7 (2001), 525-539. Math. Review 2003f:60171
  4. D.J. Daley, D. Vere-Jones. An introduction to the theory of point processes. Springer-Verlag (1988). Math. Review 90e:60060
  5. P.A. Ferrari, R. Fernandez, N.L. Garcia. Loss network representation of Peierls contours. Ann. Probab. 29 (2001), 902-937. Math. Review 2002g:60158
  6. L.R.G. Fontes, F.P. Machado, A. Sarkar. The critical probability for the frog model is not a monotonic function of the graph. J. Appl. Probab. 41 (2004), 292-298. Math. Review number not available.
  7. F. den Hollander, M.V. Menshikov, S.E. Volkov. Two problems about random walks in a random field of traps. Markov Process. Relat. Fields 1 (1995), 185-202. Math. Review 97h:60075
  8. H. Kesten, V. Sidoravicius. The spread of a rumor or infection in a moving population. Preprint: math.PR/0312496 at arXiv.org. Math. Review number not available.
  9. H. Kesten, V. Sidoravicius. A shape theorem for the spread of an infection. Preprint: math.PR/0312511 at arXiv.org. Math. Review number not available.
  10. N. Konno, R. Schinazi, H. Tanemura. Coexistence results for a spatial stochastic epidemic models. Markov Process. Relat. Fields, to appear. Math. Review number not available.
  11. G.F. Lawler. Intersections of Random Walks. Birkhauser Boston (1991). Math. Review 92f:60122
  12. M.V. Menshikov. Estimates for percolation thresholds for lattices in R^n. Soviet Math. Dokl. 32 (1985), 368-370. Math. Review 87e:60171
  13. M.V. Menshikov, S.E. Volkov. Branching Markov chains: qualitative characteristics. Markov Process. Relat. Fields 3 (1997), 225-241. Math. Review 99c:60192
  14. R. Pemantle, S.E. Volkov. Markov chains in a field of traps. J. Theor. Probab. 11 (1998), 561-569. Math. Review 99d:60111
  15. S.Yu. Popov. Frogs in random environment. J. Statist. Phys. 102 (2001), 191-201. Math. Review 2002a:82064
  16. S. Popov. Frogs and some other interacting random walks models. Discrete Math. Theor. Comput. Sci. AC (2003), 277--288. Math. Review number not available.
  17. R. Schinazi. On the spread of drug resistant diseases. J. Statist. Phys. 97 (1999), 409--417. Math. Review 2001c:60159
  18. F. Spitzer. Principles of Random Walk. Springer Verlag (1976). Math. Review 52 #9383
  19. A. Telcs, N.C. Wormald. Branching and tree indexed random walks on fractals. J. Appl. Probab. 36 (1999), 999-1011. Math. Review 2001m:60199
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