Multitype shape theorems for first passage percolation models

Authors
Pimentel, Leandro P. R.
Citation
R. Pimentel, Leandro P., Multitype shape theorems for first passage percolation models, Advances in applied probability , 39(1), 2007, pp. 53-76
Journal title
Advances in applied probability → ACNP
ISSN journal
00018678
Volume
39
Issue
1
Year of publication
2007
Pages
53 - 76
Database
ACNP
SICI code
Abstract
A Euclidean first passage percolation model describing the competing growth between k different types of infection is considered. We focus on the long-time behavior of this multitype growth process and we derive multitype shape results related to its morphology.