16 citations · 47 across the 16 of their papers we have counts for
7 papers · 1 filter
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~$…
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…
Category theorems for Schrödinger semigroups
Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira
Stimulated by the category theorems of Eisner and Serény in the setting of unitary and isometric -semigroups on separable Hilbert spaces, we prove category theorems for Schröd…
Refined scales of decaying rates of operator semigroups on Hilbert spaces: typical behaviour
Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira
We study relations between the decaying rates of operator semigroups on Hilbert spaces and some spectral properties of their respective generators; in particular, we show that the…
Pointwise Decay of Fourier-Stieltjes transform of the Spectral Measure for Jacobi Matrices with Faster-than-Exponential Sparse Perturbations
S. L. Carvalho, D. H. U. Marchetti, W. F. Wreszinski
We consider off-diagonal Jacobi matrices with (faster-than-exponential) sparse perturbations. We prove (Theorem \ref{onehalf}) that the Fourier transform $\hat{\left\| f\right\…
On the uniform distribution of the Prüfer angles and its implication to a sharp spectral transition of Jacobi matrices with randomly sparse perturbations
S. L. Carvalho, D. H. U. Marchetti, W. F. Wreszinski
In the present work we consider off-diagonal Jacobi matrices with uncertainty in the position of sparse perturbations. We prove (Theorem 3.2) that the sequence of Prüfer angles (θ_…