75 citations · 235 across the 28 of their papers we have counts for
4 papers · 1 filter
On Some fundamental aspects of Polyominoes on Random Voronoi Tilings
Leandro P. R. Pimentel
Consider a Voronoi tiling of the Euclidean space based on a realization of a inhomogeneous Poisson random set. A Voronoi polyomino is a finite and connected union of Voronoi tiles.…
Busemann functions and the speed of a second class particle in the rarefaction fan
Eric Cator, Leandro P. R. Pimentel
In this paper we will show how the results found in Cator and Pimentel 2009, about the Busemann functions in last-passage percolation, can be used to calculate the asymptotic distr…
Tightness for the interface of the one-dimensional contact process
Enrique Andjel, Thomas Mountford, Leandro P. R. Pimentel +1
We consider a symmetric, finite-range contact process with two types of infection; both have the same (supercritical) infection rate and heal at rate 1, but sites infected by Infec…
A shape theorem and semi-infinite geodesics for the Hammersley model with random weights
E. A. Cator, L. P. R. Pimentel
In this paper we will prove a shape theorem for the last passage percolation model on a two dimensional -compound Poisson process, called the Hammersley model with random weight…