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发表时间:2021-04-01 阅读次数:334次
报告题目: Gromov hyperbolic graphs with hierarchical structures
报 告 人:孔诗磊
报告人所在单位:University of Bielefeld
报告日期:2021-04-01 星期四
报告时间:9:00-10:00
报告地点:腾讯会议 ID:263 273 539, 密码: 24680
  
报告摘要:

The notion of hyperbolic graphs was invented by M. Gromov for the study of geometric group theory. Without reference to any group structure, there are also interesting hyperbolic graphs arising from various subjects, such as contractive iterated function systems in fractal geometry, generalized dyadic cubes in harmonic analysis, and successive partitions on compact metrizable spaces; each object in these cases is identied with a graph boundary, topologically or bi-Lipschitz equivalently. In this talk, we consider a class of hyperbolic graphs endowed with certain level functions, on which the Gromov distances (visual metrics) can be bounded or unbounded. To extend the consideration in previous study, we also introduce the notion of index triple to identify a complete proper metric space with the geodesic boundary of a graph in that class. This is based on some joint work with Ka-Sing Lau and Xiang-Yang Wang.

  
本年度学院报告总序号:61

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