What was already known
Earlier rigorous two-dimensional localization covered sufficiently large disorder or spectral edges; all-energy pure-point localization at every positive disorder remained Simon’s Problem 2 for this potential law.
AI involvement
OpenAI identifies the manuscript as model-produced and is credited as author. The individual research run’s independence and any human proof checking are not documented.
The release identifies the manuscript as model-produced and credits OpenAI as author; the exact generation history is not given.
Importance
Resolves the stated two-dimensional spectral-type question for all positive disorder strengths.
Limitations
No completed check of the pure-point proof or named human explanation is documented. The companion Lean result establishes the spectral interval only; it does not check pure-point type or imply exponential or dynamical localization.
Technical verification
The companion Lean scope note checks the spectral interval, not pure-point spectral type. No complete or partial rigorous check of the pure-point proof is documented; no checking method is assigned to that assessed claim.
Human understanding
The model manuscript explains its proposed mechanism, but no named human explanation is documented. Few is the evidence default.
Correction and publication history
If correct, resolves the stated two-dimensional spectral-type question for all positive disorder strengths.
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