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math.PR2025
On the visibility window for Brownian interlacements, Poisson cylinders and Boolean models
Yingxin Mu, Artem Sapozhnikov
We study visibility inside the vacant set of three models in with slow decay of spatial correlations: Brownian interlacements, Poisson cylinders and Poisson-Boolean m…
math.PR2025
Indistinguishability of unbounded components in the occupied and vacant sets of Boolean models on symmetric spaces
Yingxin Mu, Artem Sapozhnikov
We study Boolean models on Riemannian symmetric spaces driven by homogeneous insertion- or deletion-tolerant point processes. We prove that in both the set covered by the balls (th…