Searched for: subject%3A%22Last%255C+passage%255C+percolation%22
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Cator, E. (author), Pimentel, L.P.R. (author)
The interplay between two-dimensional percolation growth models and one-dimensional particle processes has been a fruitful source of interesting mathematical phenomena. In this paper we develop a connection between the construction of Busemann functions in the Hammersley last-passage percolation model with i.i.d. random weights, and the...
journal article 2011
Ferrari, P.A. (author), Martin, J.B. (author), Pimentel, L.P.R. (author)
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 angle ? of the cone: for ??180°, the direction...
journal article 2009