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arxiv: math/0411583 · v3 · pith:JVNNRV2Vnew · submitted 2004-11-25 · 🧮 math.PR · math-ph· math.MP

A multi-type shape theorem for FPP models

classification 🧮 math.PR math-phmath.MP
keywords multi-typegrowthshapebehaviorcompetingconsideredderivedescribing
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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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