16 citations · 47 across the 16 of their papers we have counts for
19 papers
On spectral measures and convergence rates in von Neumann's Ergodic Theorem
M. Aloisio, S. L. Carvalho, C. R. de Oliveira +1
We show that the power-law decay exponents in von Neumann's Ergodic Theorem (for discrete systems) are the pointwise scaling exponents of a spectral measure at the spectral value~$…
Exponential dichotomy for dynamically defined matrix-valued Jacobi operators
Silas L. Carvalho, Fabricio Vieira
We present in this work a proof of the exponential dichotomy for dynamically defined matrix-valued Jacobi operators in , given for each by t…
Kotani Theory for ergodic matrix-like Jacobi operators
Fabrício Vieira Oliveira, Silas L. Carvalho
We extend the so-called Kotani Theory for a particular class of ergodic matrix-like Jacobi operators defined in by the law $[H_ω \textbf{u}]_{n}…
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 (…