A multi-type shape theorem for FPP models

Mathematics – Probability

Scientific paper

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Revised version with many corrections, 26 pages, 3 figures

Scientific paper

10.1239/aap/1175266469

An Euclidean first-passage percolation (FPP) model describing the competing
growth between $k$ different types of infection is considered. We focus on the
long time behavior of this multi-type growth process and we derive multi-type
shape results related to its morphology.

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