论文标题

schrödinger操作员时期光谱测量的分形维度的下限

Lower bounds for fractal dimensions of spectral measures of the period doubling Schrödinger operator

论文作者

Bazao, Vanderlea R., Carvalho, Tulio O., de Oliveira, Cesar R.

论文摘要

结果表明,在一维时期的频谱度量尺寸的hausdorff尺寸上退出了一个下限$α> 0 $,schrödingeroberator的光谱度量测量值,通常在此类序列的船体中,$α$也是频谱测量的上部包装尺寸的下限。

It is shown that there exits a lower bound $α>0$ to the Hausdorff dimension of the spectral measures of the one-dimensional period doubling substitution Schrödinger operator, and, generically in the hull of such sequence, $α$ is also a lower bound to the upper packing dimension of spectral measures.

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