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math.SP2026
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…
math.SP2026
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,…
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…