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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…
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…
Scaling limit of DLA on a long line segment
Yingxin Mu, Eviatar B. Procaccia, Yuan Zhang
In this paper, we prove that the bulk of DLA starting from a long line segment on the -axis has a scaling limit to the stationary DLA process (SDLA). The main phenomenological d…
On some threshold-one attractive interacting particle systems on homogeneous trees
Yingxin Mu, Yuan Zhang
In this paper, we consider the threshold-one contact process and the threshold-one voter model w/o spontaneous death on homogeneous trees , . Mainly inspired…