Generic zero-Hausdorff and one-packing spectral measures
Functional Analysis
2021-01-26 v2 Mathematical Physics
math.MP
Spectral Theory
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 subset. Applications include sets of limit-periodic operators.
Cite
@article{arxiv.2006.01685,
title = {Generic zero-Hausdorff and one-packing spectral measures},
author = {Silas L. Carvalho and César R. de Oliveira},
journal= {arXiv preprint arXiv:2006.01685},
year = {2021}
}