Edge processes of one dimensional stochastic growth models

Enrique D. Andjel; Rinaldo B. Schinazi; Roberto H. Schonmann

Annales de l'I.H.P. Probabilités et statistiques (1990)

  • Volume: 26, Issue: 3, page 489-506
  • ISSN: 0246-0203

How to cite

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Andjel, Enrique D., Schinazi, Rinaldo B., and Schonmann, Roberto H.. "Edge processes of one dimensional stochastic growth models." Annales de l'I.H.P. Probabilités et statistiques 26.3 (1990): 489-506. <http://eudml.org/doc/77391>.

@article{Andjel1990,
author = {Andjel, Enrique D., Schinazi, Rinaldo B., Schonmann, Roberto H.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {stochastic growth model; finite range interaction; basic contact process; unique invariant probability; critical point},
language = {eng},
number = {3},
pages = {489-506},
publisher = {Gauthier-Villars},
title = {Edge processes of one dimensional stochastic growth models},
url = {http://eudml.org/doc/77391},
volume = {26},
year = {1990},
}

TY - JOUR
AU - Andjel, Enrique D.
AU - Schinazi, Rinaldo B.
AU - Schonmann, Roberto H.
TI - Edge processes of one dimensional stochastic growth models
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1990
PB - Gauthier-Villars
VL - 26
IS - 3
SP - 489
EP - 506
LA - eng
KW - stochastic growth model; finite range interaction; basic contact process; unique invariant probability; critical point
UR - http://eudml.org/doc/77391
ER -

References

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  1. [1] C. Bezuidenhout, G. Grimmett, The critical contact process dies out. Preprint. (1989) Zbl0718.60109MR1071804
  2. [2] R. Durrett, Oriented Percolation in two dimensions. Ann. Prob. vol. 12 n°4 (1984), 999-1040. Zbl0567.60095MR757768
  3. [3] R. Durrett, Stochastics Crowth Models : ten problems for the 80's( and 90's). Comtemporary Math. Durrett ed. 41, (1985) Zbl0568.60097MR814704
  4. [4] R. Durrett, Lecture Notes in Interacting Particle Systems and Percolation. Wadsworth and Brooks/Cole. (1988) Zbl0659.60129
  5. [5] R. Durrett, R. Schonmann, The contact Process on a finite set II. Ann. Prob. vol. 16 n°4, (1988), 1570-1583 Zbl0664.60106MR958203
  6. [6] S. Ethier, T. Kurtz, Markov processes : characterization and convergence. Wiley, (1986). Zbl0592.60049MR838085
  7. [7] A. Galves, E. Presutti, Edge Fluctuations for the one dimensional supercritical Contact process. Ann. Prob. vol. 15 n°3, (1987), 1131-1145 Zbl0645.60103MR893919
  8. [8] L. Gray, Duality for general attractive spin systems with application in one dimension. Ann. Prob. vol. 14 n°2, (1986), 371-396. Zbl0604.60098MR832015
  9. [9] D. Griffeath, The basic Contact Process. Stochastic Processes Appl. vol. 11, (1981), 151-185. Zbl0463.60085MR616064
  10. [10] T. Liggett, Interacting Particle Systems. Springer Verlag vol. 11, (1985), 151-185. Zbl0559.60078MR776231
  11. [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. Zbl0645.60104MR893920

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