阈值网络模型的严格结果
Rigorous results on the threshold network model
摘要：
我们分析了阈值网络模型，其中一对具有随机权值的顶点在权值之和超过阈值时通过边连接。我们证明了一些关于顶点度、度相关和指定子图个数的收敛定理和中心极限定理。我们还推广了空间扩展情形下的一些结果。
英文摘要：
We analyze the threshold network model in which a pair of vertices with random weights are connected by an edge when the summation of the weights exceeds a threshold. We prove some convergence theorems and central limit theorems on the vertex degree, degree correlation, and the number of prescribed subgraphs. We also generalize some results in the spatially extended cases.
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。
