学术报告

【online】分形分析系列报告(三):Hyperbolic graphs arising from iterations

发布人:发布时间: 2020-06-03

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分形分析系列报告(三)

题目:Hyperbolic graphs arising from iterations

 

报告人:孔诗磊(Universität Bielefeld, Germany

 

报告时间2020617日(周三) 20:30-21:30

 

摘要:For a contractive iterated function system, it is known that an augmented tree structure exists: it is (Gromov) hyperbolic, and its hyperbolic boundary is Hölder equivalent to the attractor. In this talk, we formulate a class of hyperbolic graphs, called expansive hyperbolic graphs, to capture the most essential properties from the augmented trees and the hyperbolic boundaries (e.g., the special geodesics, bounded degree property, metric doubling property, and Holder equivalence). We also study a new setup of “weighted” IFS and investigate its connection with the self-similar energy form in the analysis of fractal.

 

报告方式:Zoom会议 ID5036881879; 地址:https://zoom.com.cn/j/5036881879


邀请人:邱华 老师