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math.PR2018
Projections of Poisson cut-outs in the Heisenberg group and the visual -sphere
Laurent Dufloux, Ville Suomala
We study projectional properties of Poisson cut-out sets in non-Euclidean spaces. In the first Heisenbeg group, endowed with the Korányi metric, we show that the Hausdorff dime…
math.PR2017
Patterns in Random Fractals
Pablo Shmerkin, Ville Suomala
We characterize the existence of certain geometric configurations in the fractal percolation limit set in terms of the almost sure dimension of . Some examples of the config…