A phase transition for competition interfaces

We study the competition interface between two growing clusters in a growth model associated to last-passage percolation. When the initial unoccupied set is approximately a cone, we show that this interface has an asymptotic direction with probability 1. The behavior of this direction depends on the...

Полное описание

Библиографические подробности
Главные авторы: Ferrari, P, Martin, J, Pimentel, L
Формат: Journal article
Язык:English
Опубликовано: 2007