2 papers
math.PR2011
Non-Coexistence of Infinite Clusters in Two-Dimensional Dependent Site Percolation
Sebastian Carstens
This paper presents three results on dependent site percolation on the square lattice. First, there exists no positively associated probability measure on {0,1}^{Z^2} with the foll…
math.PR2009
The two-type continuum Richardson model: Non-dependence of the survival of both types on the initial configuration
Sebastian Carstens, Thomas Richthammer
We consider the model of Deijfen et al. for competing growth of two infection types in R^d, based on the Richardson model on Z^d. Stochastic ball-shaped infection outbursts transmi…