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math.PR2008★ 14 cited
Visibility to infinity in the hyperbolic plane, despite obstacles
Itai Benjamini, Johan Jonasson, Oded Schramm +1
Suppose that is a random closed subset of the hyperbolic plane $\H^2$, whose law is invariant under isometries of $\H^2$. We prove that if the probability that contains a f…
math.PR2007
Continuum percolation at and above the uniqueness treshold on homogeneous spaces
Johan Tykesson
We consider the Poisson Boolean model of continuum percolation on a homogeneous Riemannian manifold . Let be intensity of the Poisson process in the model and let $lamb…