|
Crabgrass, measles and gypsy moths: An introduction to modern probability
Author(s):
Richard
Durrett
Journal:
Bull. Amer. Math. Soc.
18
(1988),
117-143.
MSC (1985):
Primary 60K35
MathSciNet review:
929088
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- M. Aizenman, J. T. Chayes, L. Chayes, J. Frohlich, and L. Russo (1983) On a sharp transition from area law to perimeter law in a system of random surfaces, Comm. Math. Phys. 92, 19-69. MR 728447
- J. D. Biggins (1978) The asymptotic shape of the branching random walk, Adv. Appl. Prob. 10, 62-84. MR 518327
- M. Bramson, R. Durrett, and G. Swindle (198?) Statistical mechanics of crabgrass, Ann. Prob., to appear. MR 985373
- J. T. Cox and R. Durrett (1981) Some limit theorems for percolation processes with necessary and sufficient conditions, Ann. Prob. 9, 583-603. MR 624685
- J. T. Cox and R. Durrett, (198?) Limit theorems for the spread of epidemics and forest fires, Stoch. Proc. Appl., to appear. MR 978353
- R. Durrett (1980) On the growth of one dimensional contact processes, Ann. Prob. 8, 890-907. MR 586774
- R. Durrett, (1984) Oriented percolation in two dimensions, Ann. Prob. 12, 999-1040. MR 757768
- R. Durrett, (1985) Particle systems, random media, and large deviations, Contemp. Math., Vol. 41, Amer. Math. Soc. Providence, R. I. MR 814698
- R. Durrett and D. Griffeath (1982) Contact processes in several dimensions, Z. Wahrsch. Verw. Gebiete 59, 535-552. MR 656515
- R. Durrett and D. Griffeath, (1983) The supercritical contact process on Z, Ann. Prob. 11, 1-15. MR 682796
- R. Durrett and T. Liggett (1981) The shape of the limit set in Richardson's model, Ann. Prob. 9, 186-193. MR 606981
- R. Durrett and R. H. Schonmann (1987) Stochastic growth models, Percolation Theory and Ergodic Theory of Infinite Particle Systems, I.M.A. Volumes in Math, and its Applications, Vol. 8, Springer-Verlag. MR 894544
- H. Kesten (1982) Percolation theory for mathematicians, Birkhäuser, Boston. MR 692943
- H. Kesten, (1986) Aspects of first passage percolation, Lecture Notes in Math., vol. 1180, Springer-Verlag, Berlin and New York. MR 876084
- H. Kesten, (1987a) Surfaces with minimal random weights and maximal flows: A higher dimensional version of first passage percolation, Illinois J. Math. 31, 99-166. MR 869483
- H. Kesten, (1987b) Percolation theory and first passage percolation, Ann. Prob. 15, 1231-1271. MR 905330
- J. F. C. Kingman (1973) Subadditive ergodic theory, Ann. Prob. 1, 883-909. MR 356192
- T. Liggett (1985a) An improved subadditive ergodic theorem, Ann. Prob. 13, 1279-1285. MR 806224
- T. Liggett, (1985b) Interacting particle systems, Springer-Verlag, New York. MR 2108619
- D. Richardson (1973) Random growth in a tesselation, Proc. Cambridge Philos. Soc. 74, 515-528. MR 329079
- L. Russo (1981) On the critical percolation probabilities, Z. Wahrsch. Verw. Gebiete 56, 229-237. MR 618273
- R. T. Smythe and J. C. Wierman (1978) First passage percolation on the square lattice, Lecture Notes in Math., vol. 671, Springer-Verlag, Berlin and New York. MR 513421
- P. Tautu (1986) Stochastic spatial processes, Lecture Notes in Math., vol. 1212, Springer-Verlag, Berlin and New York. MR 877761
- J. C. Wierman (1981) Bond percolation on honeycomb and triangular lattices, Adv. Appl. Prob. 13, 293-313. MR 612205
- J. C. Wierman, (1982) Percolation theory, Ann. Prob. 10, 509-524. MR 659525
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1985):
60K35
Retrieve articles in all Journals with MSC
(1985):
60K35
Additional Information:
DOI:
10.1090/S0273-0979-1988-15625-X
PII:
S 0273-0979(1988)15625-X
|