Singular Continuous and Dense Point Spectrum for Sparse Trees with Finite Dimensions
Singular Continuous and Dense Point Spectrum for Sparse Trees with Finite Dimensions
复制标题
有限维稀疏树的奇异连续和稠密点谱
DOI：
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发表时间：
2006
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影响因子：
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通讯作者：
Jonathan Breuer
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文献类型：
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作者：
Jonathan Breuer
稀疏树是树枝稀疏的树。其中一些树上的拉普拉斯函数可以被证明具有奇异的谱测度。我们专注于一个简单的稀疏树家族，其维度可以自然地定义并显示为有限的。一般来说，这个族具有奇异谱测度和特征值，它们在一定区间内是密集的。
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.