7 citations · 9 across the 9 of their papers we have counts for
13 papers
Quantitative spectral stability and sharp Fourier estimates for periodic CMV matrices with decaying perturbations
Moacir Aloisio, César R. de Oliveira, Mariane Pigossi
We study half-line CMV matrices whose Verblunsky coefficients are decaying perturbations of periodic sequences. We quantify the stability of fine properties of the absolutely conti…
Eigenfunction correlators under power-law SULE and localization for lattice operators
M. Aloisio, C. R. de Oliveira, R. Matos +2
We develop a deterministic framework showing that a power-law form of semi-uniform localization of eigenfunctions (SULE) imposes strong structural constraints on lattice operators,…
Localization and eigenvalue asymptotics for long-range discrete Dirac operators with Stark potential
Moacir Aloisio, César de Oliveira, Mariane Pigossi
We study long-range discrete Dirac operators with Stark potential, extending the theory of Stark localization from scalar lattice models to systems with internal spinorial structur…
Hölder continuity and Fourier asymptotics of spectral measures for 1D Schrödinger operators under decaying perturbations
M. Aloisio, Silas L. Carvalho, C. R. de Oliveira
We establish -Hölder continuity, or even the Lipschitz property, for the spectral measures of half-line discrete Schrödinger operators under suitable boundary conditio…
Dynamical localization and eigenvalue asymptotics: long-range hopping lattice operators with electric field
M. Aloisio
We prove power-law dynamical localization for polynomial long-range hopping lattice operators with uniform electric field under any bounded perturbation. Actually, we introduce new…
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~$…
On the Fourier asymptotics of absolutely continuous measures with power-law singularities
M. Aloisio, S. L. de Carvalho, C. R. de Oliveira +1
We prove sharp estimates on the time-average behavior of the squared absolute value of the Fourier transform of some absolutely continuous measures that may have power-law singular…
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…
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…
A note on spectrum and quantum dynamics
Moacir Aloisio
We show, in the same vein of Simon's Wonderland Theorem, that, typically in Baire's sense, the rates with whom the solutions of the Schrödinger equation escape, in time average, fr…
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…
Quantum quasiballistic dynamics and thick point spectrum
Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira
We obtain dynamical lower bounds for some self-adjoint operators with pure point spectrum in terms of the spacing properties of their eigenvalues. In particular, it is shown that f…
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…