Hyperbolic Graph and IFS

报告人：王向阳教授（中山大学）

报告地点：工商楼200-9

报告时间：12月9日上午9点半—10点半

摘要：For a contractive iterated function system (IFS), it is known that there is a natural hyperbolic graph structure (augmented tree) on the symbolic space of the IFS that reflects the relationship among neighboring cells, and its hyperbolic boundary with the Gromov metric is H\{o}lder equivalent to the attractor $K$. In this talk, we formulate a broad class of hyperbolic graphs, called expansive hyperbolic graphs, to capture the most essential properties from the augmented trees (e.g., the special geodesics, the bounded degree property, and the metric doubling property on the boundaries). Our main interest is $AI_\infty$-graph. Some open questions are given at the end of the talk. 

联系人：阮火军老师ruanhj@zju.edu.cn