descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2021Embargo end date: 01 Jan 2020 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 62 (issn: 0022-2488, eissn: 1089-7658,

Authors: Silas L. Carvalho; César R. de Oliveira;

doi: 10.1063/1.5141763 , 10.48550/arxiv.2006.01685

arXiv: http://arxiv.org/abs/2006.01685

Generic zero-Hausdorff and one-packing spectral measures

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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 simultaneous zero upper-Hausdorff and one lower-packing dimension contains a dense Gδ subset. Applications include sets of limit-periodic operators.

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UNIVERSIDADE DE SAO PAULO
Brazil

Keywords

Mathematics - Functional Analysis, Mathematics - Spectral Theory, FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Spectral Theory (math.SP), Mathematical Physics, Functional Analysis (math.FA)

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