35 citations · 50 across the 10 of their papers we have counts for
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First passage percolation in Euclidean space and on random tessellations
Sebastian Ziesche
There are various models of first passage percolation (FPP) in . We want to start a very general study of this topic. To this end we generalize the first passage perco…
Bernoulli Percolation on random Tessellations
Sebastian Ziesche
We generalize the standard site percolation model on the -dimensional lattice to a model on random tessellations of . We prove the uniqueness of the infinite cluste…
Sharpness of the phase transition and lower bounds for the critical intensity in continuum percolation on
Sebastian Ziesche
We consider the Boolean model on with random compact grains, i.e. where is a Poisson p…
On the Ornstein-Zernike equation for stationary cluster processes and the random connection model
Günter Last, Sebastian Ziesche
In the first part of this paper we consider a general stationary subcritical cluster model in . The associated pair-connectedness function can be defined in terms of…