Shape of territories in some competing growth models
Gouéré, Jean-Baptiste
Ann. Appl. Probab., Tome 17 (2007) no. 1, p. 1273-1305 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We study two competing growth models. Each of these models describes the spread of a finite number of infections on a graph. Each infection evolves like an (oriented or unoriented) first passage percolation process except that once a vertex is infected by type i infection, it remains of type i forever. We give results about the shape of the area ultimately infected by the different infections.
Publié le : 2007-08-14
Classification:  First-passage percolation,  competing growth model,  60K35 (82B43) 
@article{1186755240,
     author = {Gou\'er\'e, Jean-Baptiste},
     title = {Shape of territories in some competing growth models},
     journal = {Ann. Appl. Probab.},
     volume = {17},
     number = {1},
     year = {2007},
     pages = { 1273-1305},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1186755240}
}

Gouéré, Jean-Baptiste. Shape of territories in some competing growth models. Ann. Appl. Probab., Tome 17 (2007) no. 1, pp.  1273-1305. http://gdmltest.u-ga.fr/item/1186755240/