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On the percolative properties of the intersection of two independent interlacements
Zijie Zhuang · 2020-10-26 · via math.PR updates on arXiv.org

We prove the existence of non-trivial phase transitions for the intersection of two independent random interlacements and the complement of the intersection. Some asymptotic results about the phase curves are also obtained. Moreover, we show that at least one of these two sets percolates in high dimensions.

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