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math.SP2025
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…
math.FA2025
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…