Weak limit theorems for multigraphon-valued stochastic processes with applications to configuration models
Dynamics of random graph models have been applied widely in various fields. Although the mathematical theory of simple graphs has achieved a rapid development in recent years, the study of multi-graphs is still in its early stage. A graph is called a multigraph if loops and multiple edges are involved. The multigraphon is an important tool in building the limiting theory for dense multigraphs. In this paper, we establish a weak limit theorem for multigraphon-valued stochastic process. The limiting behavior of dynamics processes for configuration models is also studied. This is a joint work with Adrian Rollin.
张卓松，新加坡国立大学统计与应用概率系博士后研究员，2017年在香港中文大学取得统计学博士学位。主要从事概率极限理论、斯坦因方法、随机图方向的研究，部分研究成果发表在Annals of Probability，Annals of Applied Probability等概率论顶级期刊。
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