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A multi-type shape theorem for FPP models

Probability 2011-08-15 v3 Mathematical Physics math.MP

Abstract

An Euclidean first-passage percolation (FPP) model describing the competing growth between kk 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.

Cite

@article{arxiv.math/0411583,
  title  = {A multi-type shape theorem for FPP models},
  author = {Leandro P. R. Pimentel},
  journal= {arXiv preprint arXiv:math/0411583},
  year   = {2011}
}

Comments

Revised version with many corrections, 26 pages, 3 figures