Artur Avila

collaborators

2 papers

math.SP2026

Pure Point Spectrum is Generic

Artur Avila, David Damanik

We consider SchrÃ¶dinger operators in $ℓ^{2} (Z)$ with real-valued potentials in $ℓ^{\infty} (Z)$ and show that the generic spectral type is pure point. More spec…

math.SP2025

Dense Phenomena for Ergodic SchrÃ¶dinger Operators: I. Spectrum, Integrated Density of States, and Lyapunov Exponent

Artur Avila, David Damanik

We consider SchrÃ¶dinger operators in $ℓ^{2} (Z)$ whose potentials are defined via continuous sampling along the orbits of a homeomorphism on a compact metric space. We show that…