57 citations · 220 across the 14 of their papers we have counts for
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math.PR2023
Visibility in Brownain 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 Boolean model. Fo…
math.PR2023★ 1 cited
Uniqueness of the infinite connected component for the vacant set of random interlacements on amenable transient graphs
Yingxin Mu, Artem Sapozhnikov
We prove the uniqueness of the infinite connected component for the vacant set of random interlacements on general vertex-transitive amenable transient graphs. Our approach is base…
math.PR2023★ 1 cited
On questions of uniqueness for the vacant set of Wiener sausages and Brownian interlacements
Yingxin Mu, Artem Sapozhnikov
We consider connectivity properties of the vacant set of (random) ensembles of Wiener sausages in in the transient dimensions . We prove that the vacant set…