Localization and delocalization in the Anderson model

Formal proof listed 2 papers September 23, 2026
What the paper claims, in its own words

Resolves the predicted spectral contrast for the lattice Anderson model with independent uniform site potentials. In dimension two, every positive disorder strength gives almost surely pure-point spectrum. In every fixed dimension d ≥ 3, sufficiently weak positive disorder gives purely absolutely continuous spectrum on a fixed open interval with nonzero spectral weight.

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The original papers (2)