16 citations · 47 across the 16 of their papers we have counts for
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Some generic fractal properties of bounded self-adjoint operators
Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira
We study generic fractal properties of bounded self-adjoint operators through lower and upper generalized fractal dimensions of their spectral measures. Two groups of results are p…
Generic zero-Hausdorff and one-packing spectral measures
Silas L. Carvalho, César R. de Oliveira
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 dimen…
On the generic behavior of the metric entropy, and related quantities, of uniformly continuous maps over Polish metric spaces
Silas L. Carvalho, Alexander Condori
In this work, we show that if is a uniformly continuous map defined over a Polish metric space, then the set of -invariant measures with zero metric entropy is a set (…
Hydrogen atom bound states whose spectral measures have positive upper fractal dimensions
Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira
It is shown that, Baire generically, the bound states of the Hamiltonian of the Hydrogen atom have spectral measures with exact -lower and -upper generalized fractal dimens…