有限维稀疏树的奇异连续稠密点谱
Singular Continuous and Dense Point Spectrum for Sparse Trees with Finite Dimensions
摘要：
稀疏树是具有稀疏分支的树。这些树中的一些上的拉普拉斯算子可以被证明具有奇异的谱测度。我们专注于一个简单的家庭的稀疏树的维度可以自然地定义和有限的。一般地，这个族具有奇异的谱测度和在某个区间上稠密的特征值。
英文摘要：
Sparse trees are trees with sparse branchings. The Laplacian on some of these trees can be shown to have singular spectral measures. We focus on a simple family of sparse trees for which the dimensions can be naturally defined and shown to be finite. Generically, this family has singular spectral measures and eigenvalues that are dense in some interval.
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。
