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paper

A multi-type shape theorem for FPP models

arXiv:math/0411583 · doi:10.1239/aap/1175266469

Abstract

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.

Revised version with many corrections, 26 pages, 3 figures