一类自相似分形的显式谱抽取
Explicit Spectral Decimation for a Class of Self--Similar Fractals
摘要:
本文将谱抽取方法应用于自相似分形的无限集合。所考虑的集合属于嵌套分形类,因此是非常对称的。给出了一个明确的结构,以获得公式的拉普拉斯算子的特征值作用于这些分形。
英文摘要:
The method of spectral decimation is applied to an infinite collection of self--similar fractals. The sets considered belong to the class of nested fractals, and are thus very symmetric. An explicit construction is given to obtain formulas for the eigenvalues of the Laplace operator acting on these fractals.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。