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arXiv · 2006.01685

Generic zero-Hausdorff and one-packing spectral measures

Silas L. Carvalho·César R. de Oliveira
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Abstract

For some metric spaces of self-adjoint operators, it is shown that the set of operators whose spectral measures have simultaneously zero upper-Hausdorff and one lower-packing dimensions contains a dense $G_δ$ subset. Applications include sets of limit-periodic operators.

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Silas L. Carvalho, César R. de Oliveira. 2021-01-24. Generic zero-Hausdorff and one-packing spectral measures. https://doi.org/10.1063/1.5141763

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