Yingxin Mu

activity

20182026

most citedOn questions of uniqueness for the vacant set of Wiener sausages and Brownian interlacements

1 citations · 3 across the 9 of their papers we have counts for

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3 papers · 1 filter

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 $R^{d}$ 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 $R^{d}$ in the transient dimensions $d \geq 3$ . We prove that the vacant set…