论文标题
具有已知ERGM平衡的连续时间图过程：上下文审查，扩展和合成
Continuous Time Graph Processes with Known ERGM Equilibria: Contextual Review, Extensions, and Synthesis
论文作者
论文摘要
在连续时间展开的图过程显然具有理论和实际兴趣。特别有用的是那些长期行为会收敛到已知形式的图分布的人。在这里，我们回顾了这种收敛的一些条件，并提供了这样做的新颖和/或已知过程的示例。其中包括众所周知的随机角色导向模型的亚家族，以及时间和可分离的时间指数式家庭随机图模型的连续扩展。我们还对网络动力学的更广泛工作中的一些相关线程进行评论，这些线程为连续的时间案例提供了其他上下文。
Graph processes that unfold in continuous time are of obvious theoretical and practical interest. Particularly useful are those whose long-term behavior converges to a graph distribution of known form. Here, we review some of the conditions for such convergence, and provide examples of novel and/or known processes that do so. These include subfamilies of the well-known stochastic actor oriented models, as well as continuum extensions of temporal and separable temporal exponential family random graph models. We also comment on some related threads in the broader work on network dynamics, which provide additional context for the continuous time case.
