Edge processes of one dimensional stochastic growth models
Andjel, Enrique D. ; Schinazi, Rinaldo B. ; Schonmann, Roberto H.
Annales de l'I.H.P. Probabilités et statistiques, Tome 26 (1990), p. 489-506 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1990-01-01
@article{AIHPB_1990__26_3_489_0,
     author = {Andjel, Enrique D. and Schinazi, Rinaldo B. and Schonmann, Roberto H.},
     title = {Edge processes of one dimensional stochastic growth models},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     volume = {26},
     year = {1990},
     pages = {489-506},
     mrnumber = {1066090},
     zbl = {0711.60104},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPB_1990__26_3_489_0}
}

Andjel, Enrique D.; Schinazi, Rinaldo B.; Schonmann, Roberto H. Edge processes of one dimensional stochastic growth models. Annales de l'I.H.P. Probabilités et statistiques, Tome 26 (1990) pp. 489-506. http://gdmltest.u-ga.fr/item/AIHPB_1990__26_3_489_0/

[1] C. Bezuidenhout, G. Grimmett, The critical contact process dies out. Preprint. (1989) | MR 1071804 | Zbl 0718.60109

[2] R. Durrett, Oriented Percolation in two dimensions. Ann. Prob. vol. 12 n°4 (1984), 999-1040. | MR 757768 | Zbl 0567.60095

[3] R. Durrett, Stochastics Crowth Models : ten problems for the 80's( and 90's). Comtemporary Math. Durrett ed. 41, (1985) | MR 814704 | Zbl 0568.60097

[4] R. Durrett, Lecture Notes in Interacting Particle Systems and Percolation. Wadsworth and Brooks/Cole. (1988) | Zbl 0659.60129

[5] R. Durrett, R. Schonmann, The contact Process on a finite set II. Ann. Prob. vol. 16 n°4, (1988), 1570-1583 | MR 958203 | Zbl 0664.60106

[6] S. Ethier, T. Kurtz, Markov processes : characterization and convergence. Wiley, (1986). | MR 838085 | Zbl 0592.60049

[7] A. Galves, E. Presutti, Edge Fluctuations for the one dimensional supercritical Contact process. Ann. Prob. vol. 15 n°3, (1987), 1131-1145 | MR 893919 | Zbl 0645.60103

[8] L. Gray, Duality for general attractive spin systems with application in one dimension. Ann. Prob. vol. 14 n°2, (1986), 371-396. | MR 832015 | Zbl 0604.60098

[9] D. Griffeath, The basic Contact Process. Stochastic Processes Appl. vol. 11, (1981), 151-185. | MR 616064 | Zbl 0463.60085

[10] T. Liggett, Interacting Particle Systems. Springer Verlag vol. 11, (1985), 151-185. | MR 776231 | Zbl 0559.60078

[11] R. Schonmann, Absence of a Stationary distribution for the edge process of subcritical oriented precolation in two dimensions. Ann. prob. vol. 15 n°3, (1987), 1146-1147. | MR 893920 | Zbl 0645.60104