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math.PR2020★ 3 cited
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…
math.PR2020
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…