Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 261-02. Pure-Point Spectrum for the Two-Dimensional Anderson Model at Every Positive Disorder
Manuscript map · lines 7645–7654
OpenAI@2026-10-07#rem:oai-p-261-02
Authors: OpenAI. Family 261.
Title: Pure-Point Spectrum for the Two-Dimensional Anderson Model at Every Positive Disorder.
Abstract: For each fixed positive disorder strength, we prove that the nearest-neighbor Anderson operator on the square lattice with independent uniform site potentials almost surely has pure-point spectral type throughout its spectrum. This resolves the pure-point assertion of the two-dimensional Anderson localization conjecture for the uniform single-site law.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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