The threshold contact process: A continuum limit

Bezuidenhout, C., Grimmett, G.: The critical contact process dies out. Ann. Probab.18, 1462–1482 (1990)

Bezuidenhout, C., Grimmett, G.: Exponential decay for subcritical contact and percolation processes. Ann. Probab.19, 984–1009 (1991)

Bramson, M., Durrett, R., Swindle, G.: Statistical mechanics of crabgrass. Ann. Probab.17, 444–481 (1989)

Cox, J. T., Durrett, R.: Nonlinear voter models. In: R. Durrett and H. Kesten (eds.), Random walks, Brownian motion and interacting particle systems: a festschrift in honor of Frank Spitzer. Basel: Birkhauser, 1991, pp. 189–201

Durrett, R.: Lecture notes on particle systems and percolation. Pacific Grove: Wadsworth and Brooks/Cole 1988

Durrett, R.: Multicolor particle systems with large threshold and range, J. Theoret. Probab.5, 127–152 (1992)

Fisch, R., Gravner, J., Griffeath, D.: Metastability in the Greenberg-Hastings model. Ann. Appl. Probab.3, 935–967 (1993)

Greenberg, J. M., Hastings, S. P.: Spatial patterns for discrete models of excitable media. SIAM J. Appl. Math.34, 515–523 (1978)

Grimment, G.: Percolation. New York: Springer 1989

Hall, P.: On continuum percolation. Ann. Probab.13, 1250–1266 (1985)

Hall, P.: Introduction to the theory of coverage processes. New York: Wiley 1988

Liggett, T. M.: Interacting particle systems. New York: Springer 1985

Liggett, T. M.: The periodic threshold contact process. In: R. Durrett and H. Kesten (eds.), Random walks, Brownian motion and interacting particle systems: a festschrift in honor of Frank Spitzer, pp. 339–358, Basel: Birkhauser 1991

Liggett, T. M.: Coexistence in threshold voter models. Ann. Probab.22, 764–802 (1994)

Menshikov, M. V., Molchanov, S. A., Sidorenko, A. F.: Percolation theory and some applications. J. Soviet Math.42, 1766–1810 (1988) (first published in Russian 1986)

Penrose, M. D.: On the spread-out limit for bond and continuum percolation. Ann. Appl. Probab.3, 253–276 (1993)

Penrose, M. D.: Spatial epidemics with large finite range. J. Appl. Probab. (to appear)

Penrose, M. D.: Exponential decay for the subcritical threshold contact process. Preprint, unpublished (1994)

Penrose, M. D.: Continuum percolation and Euclidean minimal spanning trees in high dimensions. Preprint (1995)

Penrose, M. D.: Bounds on the critical point in oriented continuum percolation. Preprint (1995)

Schonmann, R., Vares, M. E.: The survival of the large dimensional basic contact process. Probab. Theory Relat. Fields72, 387–393 (1986)