Searched for: author%3A%22Pimentel%2C+L.P.R.%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
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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