30 citations · 82 across the 18 of their papers we have counts for
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math.PR2011★ 14 cited
Random interlacements and amenability
Augusto Teixeira, Johan Tykesson
We consider the model of random interlacements on transient graphs, which was first introduced by Sznitman [Ann. of Math. (2) (2010) 171 2039-2087] for the special case of ${\mathb…
math.PR2011
Asymptotics of visibility in the hyperbolic plane
Pierre Calka, Johan Tykesson
At each point of a Poisson point process of intensity in the hyperbolic place, center a ball of bounded random radius. Consider the probability that from a fixed point, t…
math.PR2011
Geometry of the random interlacement
Eviatar B. Procaccia, Johan Tykesson
We consider the geometry of random interlacements on the -dimensional lattice. We use ideas from stochastic dimension theory developed in \cite{benjamini2004geometry} to prove t…