AI 中文总结
研究二维格点上随机约束度渗流模型，通过证明无限开放簇若存在则几乎必然唯一，得出超临界状态下连通函数为正的结论。
AI 中文摘要
本注记考虑方格晶格随机环境中的约束度渗流模型，其中每个顶点被赋予一个随机度约束，边在随机时间尝试开放。我们证明，只要存在无限开放簇，它几乎必然是唯一的，这意味着在超临界状态下连通函数的正性。
英文摘要
This note considers a constrained-degree percolation model in a random environment on the square lattice, where each vertex is assigned a random degree constraint, and edges attempt to open at random times. We prove that whenever an infinite open cluster exists, it is almost surely unique, implying the positivity of the connectivity function in the supercritical regime.
