图分形体的分类
Classification of Graph Fractaloids
摘要:
本文研究了具有分形性质的图群胚,即图分形胚。特别是,我们对它们进行分类的频谱数据的某些希尔伯特空间运营商,称为径向运营商。基于这些信息,我们可以定义两个数对$(N_{0},$ $N^{0})$,对于给定的图分形体G,称为G的分形对。图分形体是由这样的对进行分类。
英文摘要:
In this paper, we observe graph fractaloids, which are the graph groupoids with fractal property. In particular, we classify them in terms of the spectral data of certain Hilbert space operators, called the radial operators. Based on these information, we can define the pair of two numbers $(N_{0},$ $N^{0})$, for a given graph fractaloid G, called the fractal pair of G. The graph fractaloids are classified by such pairs.
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