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Two-dimensional random interlacements: 0-1 law and the vacant set at criticality
Published 16 Sep 2022 in math.PR | (2209.07938v2)
Abstract: We correct and streamline the proof of the fact that, at the critical point $\alpha=1$, the vacant set of the two-dimensional random interlacements is infinite (Comets, Popov, 2017). Also, we prove a zero-one law for a natural class of tail events related to the random interlacements.
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