Lower bounds for fractal dimensions of spectral measures of the period doubling Schr\'odinger operator
| Autor: | Bazao, Vanderlea R., Carvalho, Tulio O., de Oliveira, Cesar R. |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| Popis: | It is shown that there exits a lower bound $\alpha>0$ to the Hausdorff dimension of the spectral measures of the one-dimensional period doubling substitution Schr\"odinger operator, and, generically in the hull of such sequence, $\alpha$ is also a lower bound to the upper packing dimension of spectral measures. |
| Databáze: | arXiv |
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