2 papers
math.SP2026
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…
math.SP2026
Hölder continuity and Fourier asymptotics of spectral measures for 1D Schrödinger operators under exponentially 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 condit…