30 citations · 82 across the 18 of their papers we have counts for
18 papers
The Poisson stick model in hyperbolic space
Erik I. Broman, Johan H. Tykesson
In this paper we study the Poisson stick model in two dimensional hyperbolic space where the sticks all have length Typically, percolation models in hyperbolic…
Percolation for two-dimensional excursion clouds and the discrete Gaussian free field
Alexander Drewitz, Olof Elias, Alexis Prévost +2
We study percolative properties of excursion processes and the discrete Gaussian free field (dGFF) in the planar unit disk. We consider discrete excursion clouds, defined using ran…
The existence phase transition for two Poisson random fractal models
Erik I. Broman, Johan Jonasson, Johan Tykesson
In this paper we study the existence phase transition of the random fractal ball model and the random fractal box model. We show that both of these are in the empty phase at the cr…
The fractal cylinder process: existence and connectivity phase transition
Erik Broman, Olof Elias, Filipe Mussini +1
We consider a semi-scale invariant version of the Poisson cylinder model which in a natural way induces a random fractal set. We show that this random fractal exhibits an existence…
Poisson cylinders in hyperbolic space
Erik I. Broman, Johan H. Tykesson
We consider the Poisson cylinder model in -dimensional hyperbolic space. We show that in contrast to the Euclidean case, there is a phase transition in the connectivity of the c…
Visibility in the vacant set of the Brownian interlacements and the Brownian excursion process
Olof Elias, Johan Tykesson
We consider the Brownian interlacements model in Euclidean space, introduced by A.S. Sznitman in \cite{sznitman2013scaling}. We give estimates for the asymptotics of the visibility…