Title: Continuous Time Graph Processes with Known ERGM Equilibria: Contextual Review, Extensions, and Synthesis Show Chinese title

Title: 具有已知ERGM平衡态的连续时间图过程：背景综述、扩展与综合

Abstract: 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. Show Chinese abstract

Abstract: 在连续时间下展开的图过程显然具有理论和实际兴趣。 那些长期行为收敛到已知形式的图分布的过程尤其有用。 在这里，我们回顾了此类收敛的一些条件，并提供了新颖和/或已知的过程的例子。 这些包括著名的随机行动者导向模型的子族，以及时间指数族随机图模型及其可分离的时间扩展。 我们还评论了网络动力学领域中一些相关的工作，这为连续时间情况提供了更多背景。