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A multi-type shape theorem for FPP models

Leandro P. R. Pimentel

math.PRarXiv:math/0411583

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.

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