On the percolative properties of the intersection of two independent interlacements
Probability
2020-10-27 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.2010.13640,
title = {On the percolative properties of the intersection of two independent interlacements},
author = {Zijie Zhuang},
journal= {arXiv preprint arXiv:2010.13640},
year = {2020}
}