A Note on Percolation in a VoronoiCompetition { Growth
نویسندگان
چکیده
We study a model in which two entities (e.g., plant species, political ideas, ...) compete for space on a plane, starting from randomly distributed seeds, and growing deterministically at possibly diierent rates. An entity which forms an innnite cluster is considered to dominate over the other (which then cannot percolate). We analyze the occurence of such a form of domination in situations in which one entity starts from a much larger density of seeds than the other one, but the latter one grows at a much faster rate than the former one. The model studied here generalizes the problem of Voronoi percolation.
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