2020
DOI: 10.48550/arxiv.2008.13639
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Lower bounds for fractal dimensions of spectral measures of the period doubling Schrödinger operator

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

Abstract: It is shown that there exits a lower bound α > 0 to the Hausdorff dimension of the spectral measures of the onedimensional 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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