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arXiv 2010.13640math.PRmath-phmath.MP
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关于两个独立交错的交的分解性质

On the percolative properties of the intersection of two independent interlacements

Zijie Zhuang

摘要:

我们证明了两个独立的随机交错的交集和交集的补集的非平凡相变的存在性。得到了相位曲线的一些渐近结果。此外,我们表明,这两个集合中至少有一个是在高维中。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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