Singular Spectrum for Radial Trees
Singular Spectrum for Radial Trees
复制标题
径向树的奇异谱
DOI：
10.1142/s0129055x09003773
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发表时间：
2008
影响因子：
1.8
通讯作者：
R. Frank
中科院分区：
文献类型：
--
作者：
Jonathan Breuer;R. Frank
We prove several results showing that absolutely continuous spectrum for the Laplacian on radial trees is a rare event. In particular, we show that metric trees with unbounded edges have purely singular spectrum and that, generically (in the sense of Baire), radial trees have purely singular continuous spectrum.
